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Finding the Third Proportional to 147,760.50 and 216,396

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Solution

The third proportional to 147,760.50 and 216,396 is: 316,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,760.50 : 216,396 = 216,396 : x
  2. Step 2: Convert to fraction form
    147,760.50/216,396 = 216,396/x
  3. Step 3: Cross multiply
    147,760.50x = 216,396 × 216,396
  4. Step 4: Simplify right side
    147,760.50x = 46,827,228,816
  5. Step 5: Solve for x
    x = 46,827,228,816/147,760.50
  6. Step 6: Final answer
    x = 316,913.04

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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.