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Finding the Third Proportional to 201,626 and 297,840

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Solution

The third proportional to 201,626 and 297,840 is: 439,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,626 : 297,840 = 297,840 : x
  2. Step 2: Convert to fraction form
    201,626/297,840 = 297,840/x
  3. Step 3: Cross multiply
    201,626x = 297,840 × 297,840
  4. Step 4: Simplify right side
    201,626x = 88,708,665,600
  5. Step 5: Solve for x
    x = 88,708,665,600/201,626
  6. Step 6: Final answer
    x = 439,966.40

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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.