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Finding the Third Proportional to 152,702 and 237,778

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Solution

The third proportional to 152,702 and 237,778 is: 370,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,702 : 237,778 = 237,778 : x
  2. Step 2: Convert to fraction form
    152,702/237,778 = 237,778/x
  3. Step 3: Cross multiply
    152,702x = 237,778 × 237,778
  4. Step 4: Simplify right side
    152,702x = 56,538,377,284
  5. Step 5: Solve for x
    x = 56,538,377,284/152,702
  6. Step 6: Final answer
    x = 370,253.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.