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Finding the Third Proportional to 144,192 and 224,046

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Solution

The third proportional to 144,192 and 224,046 is: 348,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,192 : 224,046 = 224,046 : x
  2. Step 2: Convert to fraction form
    144,192/224,046 = 224,046/x
  3. Step 3: Cross multiply
    144,192x = 224,046 × 224,046
  4. Step 4: Simplify right side
    144,192x = 50,196,610,116
  5. Step 5: Solve for x
    x = 50,196,610,116/144,192
  6. Step 6: Final answer
    x = 348,123.41

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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.