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Finding the Third Proportional to 155,484 and 237,730

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Solution

The third proportional to 155,484 and 237,730 is: 363,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,484 : 237,730 = 237,730 : x
  2. Step 2: Convert to fraction form
    155,484/237,730 = 237,730/x
  3. Step 3: Cross multiply
    155,484x = 237,730 × 237,730
  4. Step 4: Simplify right side
    155,484x = 56,515,552,900
  5. Step 5: Solve for x
    x = 56,515,552,900/155,484
  6. Step 6: Final answer
    x = 363,481.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.