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Finding the Third Proportional to 316,149 and 474,235.50

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Solution

The third proportional to 316,149 and 474,235.50 is: 711,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,149 : 474,235.50 = 474,235.50 : x
  2. Step 2: Convert to fraction form
    316,149/474,235.50 = 474,235.50/x
  3. Step 3: Cross multiply
    316,149x = 474,235.50 × 474,235.50
  4. Step 4: Simplify right side
    316,149x = 224,899,309,460.25
  5. Step 5: Solve for x
    x = 224,899,309,460.25/316,149
  6. Step 6: Final answer
    x = 711,371.25

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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.