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Finding the Third Proportional to 118,358 and 256,414

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Solution

The third proportional to 118,358 and 256,414 is: 555,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,358 : 256,414 = 256,414 : x
  2. Step 2: Convert to fraction form
    118,358/256,414 = 256,414/x
  3. Step 3: Cross multiply
    118,358x = 256,414 × 256,414
  4. Step 4: Simplify right side
    118,358x = 65,748,139,396
  5. Step 5: Solve for x
    x = 65,748,139,396/118,358
  6. Step 6: Final answer
    x = 555,502.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.