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Finding the Third Proportional to 107,688 and 250,260

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Solution

The third proportional to 107,688 and 250,260 is: 581,588.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,688 : 250,260 = 250,260 : x
  2. Step 2: Convert to fraction form
    107,688/250,260 = 250,260/x
  3. Step 3: Cross multiply
    107,688x = 250,260 × 250,260
  4. Step 4: Simplify right side
    107,688x = 62,630,067,600
  5. Step 5: Solve for x
    x = 62,630,067,600/107,688
  6. Step 6: Final answer
    x = 581,588.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.