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Finding the Third Proportional to 134,115 and 292,278

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Solution

The third proportional to 134,115 and 292,278 is: 636,964.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,115 : 292,278 = 292,278 : x
  2. Step 2: Convert to fraction form
    134,115/292,278 = 292,278/x
  3. Step 3: Cross multiply
    134,115x = 292,278 × 292,278
  4. Step 4: Simplify right side
    134,115x = 85,426,429,284
  5. Step 5: Solve for x
    x = 85,426,429,284/134,115
  6. Step 6: Final answer
    x = 636,964.02

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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.