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Finding the Third Proportional to 210,764.25 and 316,154.25

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Solution

The third proportional to 210,764.25 and 316,154.25 is: 474,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,764.25 : 316,154.25 = 316,154.25 : x
  2. Step 2: Convert to fraction form
    210,764.25/316,154.25 = 316,154.25/x
  3. Step 3: Cross multiply
    210,764.25x = 316,154.25 × 316,154.25
  4. Step 4: Simplify right side
    210,764.25x = 99,953,509,793.06
  5. Step 5: Solve for x
    x = 99,953,509,793.06/210,764.25
  6. Step 6: Final answer
    x = 474,243.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.