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Finding the Third Proportional to 76,382 and 167,528

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Solution

The third proportional to 76,382 and 167,528 is: 367,437.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382 : 167,528 = 167,528 : x
  2. Step 2: Convert to fraction form
    76,382/167,528 = 167,528/x
  3. Step 3: Cross multiply
    76,382x = 167,528 × 167,528
  4. Step 4: Simplify right side
    76,382x = 28,065,630,784
  5. Step 5: Solve for x
    x = 28,065,630,784/76,382
  6. Step 6: Final answer
    x = 367,437.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.