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Finding the Third Proportional to 146,534 and 316,396

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Solution

The third proportional to 146,534 and 316,396 is: 683,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,534 : 316,396 = 316,396 : x
  2. Step 2: Convert to fraction form
    146,534/316,396 = 316,396/x
  3. Step 3: Cross multiply
    146,534x = 316,396 × 316,396
  4. Step 4: Simplify right side
    146,534x = 100,106,428,816
  5. Step 5: Solve for x
    x = 100,106,428,816/146,534
  6. Step 6: Final answer
    x = 683,161.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.