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Finding the Third Proportional to 201,924 and 316,778

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Solution

The third proportional to 201,924 and 316,778 is: 496,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,924 : 316,778 = 316,778 : x
  2. Step 2: Convert to fraction form
    201,924/316,778 = 316,778/x
  3. Step 3: Cross multiply
    201,924x = 316,778 × 316,778
  4. Step 4: Simplify right side
    201,924x = 100,348,301,284
  5. Step 5: Solve for x
    x = 100,348,301,284/201,924
  6. Step 6: Final answer
    x = 496,960.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.