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Finding the Third Proportional to 243,335.25 and 325,498.50

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Solution

The third proportional to 243,335.25 and 325,498.50 is: 435,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,335.25 : 325,498.50 = 325,498.50 : x
  2. Step 2: Convert to fraction form
    243,335.25/325,498.50 = 325,498.50/x
  3. Step 3: Cross multiply
    243,335.25x = 325,498.50 × 325,498.50
  4. Step 4: Simplify right side
    243,335.25x = 105,949,273,502.25
  5. Step 5: Solve for x
    x = 105,949,273,502.25/243,335.25
  6. Step 6: Final answer
    x = 435,404.54

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.