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Finding the Third Proportional to 159,642 and 247,207.50

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Solution

The third proportional to 159,642 and 247,207.50 is: 382,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,642 : 247,207.50 = 247,207.50 : x
  2. Step 2: Convert to fraction form
    159,642/247,207.50 = 247,207.50/x
  3. Step 3: Cross multiply
    159,642x = 247,207.50 × 247,207.50
  4. Step 4: Simplify right side
    159,642x = 61,111,548,056.25
  5. Step 5: Solve for x
    x = 61,111,548,056.25/159,642
  6. Step 6: Final answer
    x = 382,803.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.