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Finding the Third Proportional to 147,480.75 and 316,467

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Solution

The third proportional to 147,480.75 and 316,467 is: 679,080.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,480.75 : 316,467 = 316,467 : x
  2. Step 2: Convert to fraction form
    147,480.75/316,467 = 316,467/x
  3. Step 3: Cross multiply
    147,480.75x = 316,467 × 316,467
  4. Step 4: Simplify right side
    147,480.75x = 100,151,362,089
  5. Step 5: Solve for x
    x = 100,151,362,089/147,480.75
  6. Step 6: Final answer
    x = 679,080.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.