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Finding the Third Proportional to 163,872.75 and 357,534

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Solution

The third proportional to 163,872.75 and 357,534 is: 780,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,872.75 : 357,534 = 357,534 : x
  2. Step 2: Convert to fraction form
    163,872.75/357,534 = 357,534/x
  3. Step 3: Cross multiply
    163,872.75x = 357,534 × 357,534
  4. Step 4: Simplify right side
    163,872.75x = 127,830,561,156
  5. Step 5: Solve for x
    x = 127,830,561,156/163,872.75
  6. Step 6: Final answer
    x = 780,059.90

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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.