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Finding the Third Proportional to 179,535 and 273,033

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Solution

The third proportional to 179,535 and 273,033 is: 415,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,535 : 273,033 = 273,033 : x
  2. Step 2: Convert to fraction form
    179,535/273,033 = 273,033/x
  3. Step 3: Cross multiply
    179,535x = 273,033 × 273,033
  4. Step 4: Simplify right side
    179,535x = 74,547,019,089
  5. Step 5: Solve for x
    x = 74,547,019,089/179,535
  6. Step 6: Final answer
    x = 415,222.76

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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.