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Finding the Third Proportional to 145,008 and 224,124

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Solution

The third proportional to 145,008 and 224,124 is: 346,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,008 : 224,124 = 224,124 : x
  2. Step 2: Convert to fraction form
    145,008/224,124 = 224,124/x
  3. Step 3: Cross multiply
    145,008x = 224,124 × 224,124
  4. Step 4: Simplify right side
    145,008x = 50,231,567,376
  5. Step 5: Solve for x
    x = 50,231,567,376/145,008
  6. Step 6: Final answer
    x = 346,405.49

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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.