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Finding the Third Proportional to 214,070 and 329,158

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Solution

The third proportional to 214,070 and 329,158 is: 506,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,070 : 329,158 = 329,158 : x
  2. Step 2: Convert to fraction form
    214,070/329,158 = 329,158/x
  3. Step 3: Cross multiply
    214,070x = 329,158 × 329,158
  4. Step 4: Simplify right side
    214,070x = 108,344,988,964
  5. Step 5: Solve for x
    x = 108,344,988,964/214,070
  6. Step 6: Final answer
    x = 506,119.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.