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Finding the Third Proportional to 119,598 and 185,229

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Solution

The third proportional to 119,598 and 185,229 is: 286,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,598 : 185,229 = 185,229 : x
  2. Step 2: Convert to fraction form
    119,598/185,229 = 185,229/x
  3. Step 3: Cross multiply
    119,598x = 185,229 × 185,229
  4. Step 4: Simplify right side
    119,598x = 34,309,782,441
  5. Step 5: Solve for x
    x = 34,309,782,441/119,598
  6. Step 6: Final answer
    x = 286,875.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.