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Finding the Third Proportional to 137,710 and 209,319

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Solution

The third proportional to 137,710 and 209,319 is: 318,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,710 : 209,319 = 209,319 : x
  2. Step 2: Convert to fraction form
    137,710/209,319 = 209,319/x
  3. Step 3: Cross multiply
    137,710x = 209,319 × 209,319
  4. Step 4: Simplify right side
    137,710x = 43,814,443,761
  5. Step 5: Solve for x
    x = 43,814,443,761/137,710
  6. Step 6: Final answer
    x = 318,164.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.