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Finding the Third Proportional to 155,044.13 and 334,702.13

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Solution

The third proportional to 155,044.13 and 334,702.13 is: 722,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,044.13 : 334,702.13 = 334,702.13 : x
  2. Step 2: Convert to fraction form
    155,044.13/334,702.13 = 334,702.13/x
  3. Step 3: Cross multiply
    155,044.13x = 334,702.13 × 334,702.13
  4. Step 4: Simplify right side
    155,044.13x = 112,025,512,479.52
  5. Step 5: Solve for x
    x = 112,025,512,479.52/155,044.13
  6. Step 6: Final answer
    x = 722,539.55

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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.