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Finding the Third Proportional to 242,626.50 and 367,335

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Solution

The third proportional to 242,626.50 and 367,335 is: 556,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,626.50 : 367,335 = 367,335 : x
  2. Step 2: Convert to fraction form
    242,626.50/367,335 = 367,335/x
  3. Step 3: Cross multiply
    242,626.50x = 367,335 × 367,335
  4. Step 4: Simplify right side
    242,626.50x = 134,935,002,225
  5. Step 5: Solve for x
    x = 134,935,002,225/242,626.50
  6. Step 6: Final answer
    x = 556,142.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.