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Finding the Third Proportional to 231,702.75 and 370,037.25

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Solution

The third proportional to 231,702.75 and 370,037.25 is: 590,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,702.75 : 370,037.25 = 370,037.25 : x
  2. Step 2: Convert to fraction form
    231,702.75/370,037.25 = 370,037.25/x
  3. Step 3: Cross multiply
    231,702.75x = 370,037.25 × 370,037.25
  4. Step 4: Simplify right side
    231,702.75x = 136,927,566,387.56
  5. Step 5: Solve for x
    x = 136,927,566,387.56/231,702.75
  6. Step 6: Final answer
    x = 590,962.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.