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Finding the Third Proportional to 247,261.50 and 382,557

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Solution

The third proportional to 247,261.50 and 382,557 is: 591,882.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,261.50 : 382,557 = 382,557 : x
  2. Step 2: Convert to fraction form
    247,261.50/382,557 = 382,557/x
  3. Step 3: Cross multiply
    247,261.50x = 382,557 × 382,557
  4. Step 4: Simplify right side
    247,261.50x = 146,349,858,249
  5. Step 5: Solve for x
    x = 146,349,858,249/247,261.50
  6. Step 6: Final answer
    x = 591,882.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.