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Finding the Third Proportional to 134,623 and 291,534

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Solution

The third proportional to 134,623 and 291,534 is: 631,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,623 : 291,534 = 291,534 : x
  2. Step 2: Convert to fraction form
    134,623/291,534 = 291,534/x
  3. Step 3: Cross multiply
    134,623x = 291,534 × 291,534
  4. Step 4: Simplify right side
    134,623x = 84,992,073,156
  5. Step 5: Solve for x
    x = 84,992,073,156/134,623
  6. Step 6: Final answer
    x = 631,333.97

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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.