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Finding the Third Proportional to 77,984 and 170,776

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Solution

The third proportional to 77,984 and 170,776 is: 373,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984 : 170,776 = 170,776 : x
  2. Step 2: Convert to fraction form
    77,984/170,776 = 170,776/x
  3. Step 3: Cross multiply
    77,984x = 170,776 × 170,776
  4. Step 4: Simplify right side
    77,984x = 29,164,442,176
  5. Step 5: Solve for x
    x = 29,164,442,176/77,984
  6. Step 6: Final answer
    x = 373,979.82

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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.