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Finding the Third Proportional to 134,358 and 293,277

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Solution

The third proportional to 134,358 and 293,277 is: 640,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,358 : 293,277 = 293,277 : x
  2. Step 2: Convert to fraction form
    134,358/293,277 = 293,277/x
  3. Step 3: Cross multiply
    134,358x = 293,277 × 293,277
  4. Step 4: Simplify right side
    134,358x = 86,011,398,729
  5. Step 5: Solve for x
    x = 86,011,398,729/134,358
  6. Step 6: Final answer
    x = 640,165.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.