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Finding the Third Proportional to 321,156 and 500,118

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Solution

The third proportional to 321,156 and 500,118 is: 778,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,156 : 500,118 = 500,118 : x
  2. Step 2: Convert to fraction form
    321,156/500,118 = 500,118/x
  3. Step 3: Cross multiply
    321,156x = 500,118 × 500,118
  4. Step 4: Simplify right side
    321,156x = 250,118,013,924
  5. Step 5: Solve for x
    x = 250,118,013,924/321,156
  6. Step 6: Final answer
    x = 778,805.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.