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Finding the Third Proportional to 202,360 and 296,979

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Solution

The third proportional to 202,360 and 296,979 is: 435,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,360 : 296,979 = 296,979 : x
  2. Step 2: Convert to fraction form
    202,360/296,979 = 296,979/x
  3. Step 3: Cross multiply
    202,360x = 296,979 × 296,979
  4. Step 4: Simplify right side
    202,360x = 88,196,526,441
  5. Step 5: Solve for x
    x = 88,196,526,441/202,360
  6. Step 6: Final answer
    x = 435,839.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.