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Finding the Third Proportional to 145,127 and 224,252

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Solution

The third proportional to 145,127 and 224,252 is: 346,516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,127 : 224,252 = 224,252 : x
  2. Step 2: Convert to fraction form
    145,127/224,252 = 224,252/x
  3. Step 3: Cross multiply
    145,127x = 224,252 × 224,252
  4. Step 4: Simplify right side
    145,127x = 50,288,959,504
  5. Step 5: Solve for x
    x = 50,288,959,504/145,127
  6. Step 6: Final answer
    x = 346,516.91

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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.