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Finding the Third Proportional to 145,102 and 224,214

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Solution

The third proportional to 145,102 and 224,214 is: 346,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,102 : 224,214 = 224,214 : x
  2. Step 2: Convert to fraction form
    145,102/224,214 = 224,214/x
  3. Step 3: Cross multiply
    145,102x = 224,214 × 224,214
  4. Step 4: Simplify right side
    145,102x = 50,271,917,796
  5. Step 5: Solve for x
    x = 50,271,917,796/145,102
  6. Step 6: Final answer
    x = 346,459.17

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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.