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Finding the Third Proportional to 119,657 and 185,255

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Solution

The third proportional to 119,657 and 185,255 is: 286,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,657 : 185,255 = 185,255 : x
  2. Step 2: Convert to fraction form
    119,657/185,255 = 185,255/x
  3. Step 3: Cross multiply
    119,657x = 185,255 × 185,255
  4. Step 4: Simplify right side
    119,657x = 34,319,415,025
  5. Step 5: Solve for x
    x = 34,319,415,025/119,657
  6. Step 6: Final answer
    x = 286,814.94

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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.