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Finding the Third Proportional to 179,501.06 and 272,980.13

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Solution

The third proportional to 179,501.06 and 272,980.13 is: 415,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,501.06 : 272,980.13 = 272,980.13 : x
  2. Step 2: Convert to fraction form
    179,501.06/272,980.13 = 272,980.13/x
  3. Step 3: Cross multiply
    179,501.06x = 272,980.13 × 272,980.13
  4. Step 4: Simplify right side
    179,501.06x = 74,518,148,645.02
  5. Step 5: Solve for x
    x = 74,518,148,645.02/179,501.06
  6. Step 6: Final answer
    x = 415,140.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.