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Finding the Third Proportional to 156,747 and 282,390

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Solution

The third proportional to 156,747 and 282,390 is: 508,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,747 : 282,390 = 282,390 : x
  2. Step 2: Convert to fraction form
    156,747/282,390 = 282,390/x
  3. Step 3: Cross multiply
    156,747x = 282,390 × 282,390
  4. Step 4: Simplify right side
    156,747x = 79,744,112,100
  5. Step 5: Solve for x
    x = 79,744,112,100/156,747
  6. Step 6: Final answer
    x = 508,744.10

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.