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Finding the Third Proportional to 248,701 and 375,416

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Solution

The third proportional to 248,701 and 375,416 is: 566,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,701 : 375,416 = 375,416 : x
  2. Step 2: Convert to fraction form
    248,701/375,416 = 375,416/x
  3. Step 3: Cross multiply
    248,701x = 375,416 × 375,416
  4. Step 4: Simplify right side
    248,701x = 140,937,173,056
  5. Step 5: Solve for x
    x = 140,937,173,056/248,701
  6. Step 6: Final answer
    x = 566,693.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.