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Finding the Third Proportional to 153,565.31 and 329,360.06

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Solution

The third proportional to 153,565.31 and 329,360.06 is: 706,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,565.31 : 329,360.06 = 329,360.06 : x
  2. Step 2: Convert to fraction form
    153,565.31/329,360.06 = 329,360.06/x
  3. Step 3: Cross multiply
    153,565.31x = 329,360.06 × 329,360.06
  4. Step 4: Simplify right side
    153,565.31x = 108,478,050,770.00
  5. Step 5: Solve for x
    x = 108,478,050,770.00/153,565.31
  6. Step 6: Final answer
    x = 706,396.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.