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Finding the Third Proportional to 153,614 and 317,883

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Solution

The third proportional to 153,614 and 317,883 is: 657,815.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,614 : 317,883 = 317,883 : x
  2. Step 2: Convert to fraction form
    153,614/317,883 = 317,883/x
  3. Step 3: Cross multiply
    153,614x = 317,883 × 317,883
  4. Step 4: Simplify right side
    153,614x = 101,049,601,689
  5. Step 5: Solve for x
    x = 101,049,601,689/153,614
  6. Step 6: Final answer
    x = 657,815.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.