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Finding the Third Proportional to 153,110 and 337,972

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Solution

The third proportional to 153,110 and 337,972 is: 746,032.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,110 : 337,972 = 337,972 : x
  2. Step 2: Convert to fraction form
    153,110/337,972 = 337,972/x
  3. Step 3: Cross multiply
    153,110x = 337,972 × 337,972
  4. Step 4: Simplify right side
    153,110x = 114,225,072,784
  5. Step 5: Solve for x
    x = 114,225,072,784/153,110
  6. Step 6: Final answer
    x = 746,032.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.