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Finding the Third Proportional to 242,549.50 and 510,233.75

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Solution

The third proportional to 242,549.50 and 510,233.75 is: 1,073,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,549.50 : 510,233.75 = 510,233.75 : x
  2. Step 2: Convert to fraction form
    242,549.50/510,233.75 = 510,233.75/x
  3. Step 3: Cross multiply
    242,549.50x = 510,233.75 × 510,233.75
  4. Step 4: Simplify right side
    242,549.50x = 260,338,479,639.06
  5. Step 5: Solve for x
    x = 260,338,479,639.06/242,549.50
  6. Step 6: Final answer
    x = 1,073,341.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.