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Finding the Third Proportional to 201,548 and 297,708

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Solution

The third proportional to 201,548 and 297,708 is: 439,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,548 : 297,708 = 297,708 : x
  2. Step 2: Convert to fraction form
    201,548/297,708 = 297,708/x
  3. Step 3: Cross multiply
    201,548x = 297,708 × 297,708
  4. Step 4: Simplify right side
    201,548x = 88,630,053,264
  5. Step 5: Solve for x
    x = 88,630,053,264/201,548
  6. Step 6: Final answer
    x = 439,746.63

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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.