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Finding the Third Proportional to 201,748 and 293,118

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Solution

The third proportional to 201,748 and 293,118 is: 425,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748 : 293,118 = 293,118 : x
  2. Step 2: Convert to fraction form
    201,748/293,118 = 293,118/x
  3. Step 3: Cross multiply
    201,748x = 293,118 × 293,118
  4. Step 4: Simplify right side
    201,748x = 85,918,161,924
  5. Step 5: Solve for x
    x = 85,918,161,924/201,748
  6. Step 6: Final answer
    x = 425,868.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.