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Finding the Third Proportional to 225,681 and 357,016.50

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Solution

The third proportional to 225,681 and 357,016.50 is: 564,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,681 : 357,016.50 = 357,016.50 : x
  2. Step 2: Convert to fraction form
    225,681/357,016.50 = 357,016.50/x
  3. Step 3: Cross multiply
    225,681x = 357,016.50 × 357,016.50
  4. Step 4: Simplify right side
    225,681x = 127,460,781,272.25
  5. Step 5: Solve for x
    x = 127,460,781,272.25/225,681
  6. Step 6: Final answer
    x = 564,782.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.