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Finding the Third Proportional to 144,386 and 224,433

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Solution

The third proportional to 144,386 and 224,433 is: 348,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,386 : 224,433 = 224,433 : x
  2. Step 2: Convert to fraction form
    144,386/224,433 = 224,433/x
  3. Step 3: Cross multiply
    144,386x = 224,433 × 224,433
  4. Step 4: Simplify right side
    144,386x = 50,370,171,489
  5. Step 5: Solve for x
    x = 50,370,171,489/144,386
  6. Step 6: Final answer
    x = 348,857.73

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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.