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Finding the Third Proportional to 243,141 and 390,658.50

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Solution

The third proportional to 243,141 and 390,658.50 is: 627,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,141 : 390,658.50 = 390,658.50 : x
  2. Step 2: Convert to fraction form
    243,141/390,658.50 = 390,658.50/x
  3. Step 3: Cross multiply
    243,141x = 390,658.50 × 390,658.50
  4. Step 4: Simplify right side
    243,141x = 152,614,063,622.25
  5. Step 5: Solve for x
    x = 152,614,063,622.25/243,141
  6. Step 6: Final answer
    x = 627,677.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.