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Finding the Third Proportional to 202,141.50 and 316,154.25

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Solution

The third proportional to 202,141.50 and 316,154.25 is: 494,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,141.50 : 316,154.25 = 316,154.25 : x
  2. Step 2: Convert to fraction form
    202,141.50/316,154.25 = 316,154.25/x
  3. Step 3: Cross multiply
    202,141.50x = 316,154.25 × 316,154.25
  4. Step 4: Simplify right side
    202,141.50x = 99,953,509,793.06
  5. Step 5: Solve for x
    x = 99,953,509,793.06/202,141.50
  6. Step 6: Final answer
    x = 494,472.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.