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Finding the Third Proportional to 159,918.75 and 344,746.13

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Solution

The third proportional to 159,918.75 and 344,746.13 is: 743,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,918.75 : 344,746.13 = 344,746.13 : x
  2. Step 2: Convert to fraction form
    159,918.75/344,746.13 = 344,746.13/x
  3. Step 3: Cross multiply
    159,918.75x = 344,746.13 × 344,746.13
  4. Step 4: Simplify right side
    159,918.75x = 118,849,890,702.52
  5. Step 5: Solve for x
    x = 118,849,890,702.52/159,918.75
  6. Step 6: Final answer
    x = 743,189.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.