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Finding the Third Proportional to 119,302.88 and 255,683.44

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Solution

The third proportional to 119,302.88 and 255,683.44 is: 547,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,302.88 : 255,683.44 = 255,683.44 : x
  2. Step 2: Convert to fraction form
    119,302.88/255,683.44 = 255,683.44/x
  3. Step 3: Cross multiply
    119,302.88x = 255,683.44 × 255,683.44
  4. Step 4: Simplify right side
    119,302.88x = 65,374,020,211.82
  5. Step 5: Solve for x
    x = 65,374,020,211.82/119,302.88
  6. Step 6: Final answer
    x = 547,966.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.