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Finding the Third Proportional to 214,292 and 344,118

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Solution

The third proportional to 214,292 and 344,118 is: 552,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,292 : 344,118 = 344,118 : x
  2. Step 2: Convert to fraction form
    214,292/344,118 = 344,118/x
  3. Step 3: Cross multiply
    214,292x = 344,118 × 344,118
  4. Step 4: Simplify right side
    214,292x = 118,417,197,924
  5. Step 5: Solve for x
    x = 118,417,197,924/214,292
  6. Step 6: Final answer
    x = 552,597.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.