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Finding the Third Proportional to 151,730 and 337,156

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Solution

The third proportional to 151,730 and 337,156 is: 749,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,730 : 337,156 = 337,156 : x
  2. Step 2: Convert to fraction form
    151,730/337,156 = 337,156/x
  3. Step 3: Cross multiply
    151,730x = 337,156 × 337,156
  4. Step 4: Simplify right side
    151,730x = 113,674,168,336
  5. Step 5: Solve for x
    x = 113,674,168,336/151,730
  6. Step 6: Final answer
    x = 749,187.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.