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Finding the Third Proportional to 145,091.25 and 224,197.88

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Solution

The third proportional to 145,091.25 and 224,197.88 is: 346,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,091.25 : 224,197.88 = 224,197.88 : x
  2. Step 2: Convert to fraction form
    145,091.25/224,197.88 = 224,197.88/x
  3. Step 3: Cross multiply
    145,091.25x = 224,197.88 × 224,197.88
  4. Step 4: Simplify right side
    145,091.25x = 50,264,687,154.52
  5. Step 5: Solve for x
    x = 50,264,687,154.52/145,091.25
  6. Step 6: Final answer
    x = 346,435.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.