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Finding the Third Proportional to 197,480 and 297,959

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Solution

The third proportional to 197,480 and 297,959 is: 449,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,480 : 297,959 = 297,959 : x
  2. Step 2: Convert to fraction form
    197,480/297,959 = 297,959/x
  3. Step 3: Cross multiply
    197,480x = 297,959 × 297,959
  4. Step 4: Simplify right side
    197,480x = 88,779,565,681
  5. Step 5: Solve for x
    x = 88,779,565,681/197,480
  6. Step 6: Final answer
    x = 449,562.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.