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Finding the Third Proportional to 144,871 and 224,127

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Solution

The third proportional to 144,871 and 224,127 is: 346,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871 : 224,127 = 224,127 : x
  2. Step 2: Convert to fraction form
    144,871/224,127 = 224,127/x
  3. Step 3: Cross multiply
    144,871x = 224,127 × 224,127
  4. Step 4: Simplify right side
    144,871x = 50,232,912,129
  5. Step 5: Solve for x
    x = 50,232,912,129/144,871
  6. Step 6: Final answer
    x = 346,742.36

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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.