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Finding the Third Proportional to 129,364.50 and 282,776

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Solution

The third proportional to 129,364.50 and 282,776 is: 618,115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,364.50 : 282,776 = 282,776 : x
  2. Step 2: Convert to fraction form
    129,364.50/282,776 = 282,776/x
  3. Step 3: Cross multiply
    129,364.50x = 282,776 × 282,776
  4. Step 4: Simplify right side
    129,364.50x = 79,962,266,176
  5. Step 5: Solve for x
    x = 79,962,266,176/129,364.50
  6. Step 6: Final answer
    x = 618,115.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.