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Finding the Third Proportional to 134,264.25 and 292,491

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Solution

The third proportional to 134,264.25 and 292,491 is: 637,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264.25 : 292,491 = 292,491 : x
  2. Step 2: Convert to fraction form
    134,264.25/292,491 = 292,491/x
  3. Step 3: Cross multiply
    134,264.25x = 292,491 × 292,491
  4. Step 4: Simplify right side
    134,264.25x = 85,550,985,081
  5. Step 5: Solve for x
    x = 85,550,985,081/134,264.25
  6. Step 6: Final answer
    x = 637,183.65

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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.