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Finding the Third Proportional to 176,782.50 and 282,214.13

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Solution

The third proportional to 176,782.50 and 282,214.13 is: 450,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,782.50 : 282,214.13 = 282,214.13 : x
  2. Step 2: Convert to fraction form
    176,782.50/282,214.13 = 282,214.13/x
  3. Step 3: Cross multiply
    176,782.50x = 282,214.13 × 282,214.13
  4. Step 4: Simplify right side
    176,782.50x = 79,644,812,349.52
  5. Step 5: Solve for x
    x = 79,644,812,349.52/176,782.50
  6. Step 6: Final answer
    x = 450,524.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.