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Finding the Third Proportional to 98,363.74 and 176,482.55

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Solution

The third proportional to 98,363.74 and 176,482.55 is: 316,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,363.74 : 176,482.55 = 176,482.55 : x
  2. Step 2: Convert to fraction form
    98,363.74/176,482.55 = 176,482.55/x
  3. Step 3: Cross multiply
    98,363.74x = 176,482.55 × 176,482.55
  4. Step 4: Simplify right side
    98,363.74x = 31,146,089,351.49
  5. Step 5: Solve for x
    x = 31,146,089,351.49/98,363.74
  6. Step 6: Final answer
    x = 316,641.97

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.