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Finding the Third Proportional to 201,560 and 297,726

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Solution

The third proportional to 201,560 and 297,726 is: 439,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,560 : 297,726 = 297,726 : x
  2. Step 2: Convert to fraction form
    201,560/297,726 = 297,726/x
  3. Step 3: Cross multiply
    201,560x = 297,726 × 297,726
  4. Step 4: Simplify right side
    201,560x = 88,640,771,076
  5. Step 5: Solve for x
    x = 88,640,771,076/201,560
  6. Step 6: Final answer
    x = 439,773.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.