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Finding the Third Proportional to 153,449.44 and 328,217.06

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Solution

The third proportional to 153,449.44 and 328,217.06 is: 702,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,449.44 : 328,217.06 = 328,217.06 : x
  2. Step 2: Convert to fraction form
    153,449.44/328,217.06 = 328,217.06/x
  3. Step 3: Cross multiply
    153,449.44x = 328,217.06 × 328,217.06
  4. Step 4: Simplify right side
    153,449.44x = 107,726,440,116.13
  5. Step 5: Solve for x
    x = 107,726,440,116.13/153,449.44
  6. Step 6: Final answer
    x = 702,032.16

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