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Finding the Third Proportional to 153,387.38 and 329,544.38

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Solution

The third proportional to 153,387.38 and 329,544.38 is: 708,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,387.38 : 329,544.38 = 329,544.38 : x
  2. Step 2: Convert to fraction form
    153,387.38/329,544.38 = 329,544.38/x
  3. Step 3: Cross multiply
    153,387.38x = 329,544.38 × 329,544.38
  4. Step 4: Simplify right side
    153,387.38x = 108,599,495,094.14
  5. Step 5: Solve for x
    x = 108,599,495,094.14/153,387.38
  6. Step 6: Final answer
    x = 708,008.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.