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Finding the Third Proportional to 147,987 and 216,452.25

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Solution

The third proportional to 147,987 and 216,452.25 is: 316,592.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987 : 216,452.25 = 216,452.25 : x
  2. Step 2: Convert to fraction form
    147,987/216,452.25 = 216,452.25/x
  3. Step 3: Cross multiply
    147,987x = 216,452.25 × 216,452.25
  4. Step 4: Simplify right side
    147,987x = 46,851,576,530.06
  5. Step 5: Solve for x
    x = 46,851,576,530.06/147,987
  6. Step 6: Final answer
    x = 316,592.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.