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Finding the Third Proportional to 147,630 and 216,524

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Solution

The third proportional to 147,630 and 216,524 is: 317,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,630 : 216,524 = 216,524 : x
  2. Step 2: Convert to fraction form
    147,630/216,524 = 216,524/x
  3. Step 3: Cross multiply
    147,630x = 216,524 × 216,524
  4. Step 4: Simplify right side
    147,630x = 46,882,642,576
  5. Step 5: Solve for x
    x = 46,882,642,576/147,630
  6. Step 6: Final answer
    x = 317,568.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.