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Finding the Third Proportional to 134,560 and 292,416

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Solution

The third proportional to 134,560 and 292,416 is: 635,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,560 : 292,416 = 292,416 : x
  2. Step 2: Convert to fraction form
    134,560/292,416 = 292,416/x
  3. Step 3: Cross multiply
    134,560x = 292,416 × 292,416
  4. Step 4: Simplify right side
    134,560x = 85,507,117,056
  5. Step 5: Solve for x
    x = 85,507,117,056/134,560
  6. Step 6: Final answer
    x = 635,457.17

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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.