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Finding the Third Proportional to 147,626 and 216,518

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Solution

The third proportional to 147,626 and 216,518 is: 317,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,626 : 216,518 = 216,518 : x
  2. Step 2: Convert to fraction form
    147,626/216,518 = 216,518/x
  3. Step 3: Cross multiply
    147,626x = 216,518 × 216,518
  4. Step 4: Simplify right side
    147,626x = 46,880,044,324
  5. Step 5: Solve for x
    x = 46,880,044,324/147,626
  6. Step 6: Final answer
    x = 317,559.54

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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.