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Finding the Third Proportional to 207,943 and 314,850

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Solution

The third proportional to 207,943 and 314,850 is: 476,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,943 : 314,850 = 314,850 : x
  2. Step 2: Convert to fraction form
    207,943/314,850 = 314,850/x
  3. Step 3: Cross multiply
    207,943x = 314,850 × 314,850
  4. Step 4: Simplify right side
    207,943x = 99,130,522,500
  5. Step 5: Solve for x
    x = 99,130,522,500/207,943
  6. Step 6: Final answer
    x = 476,719.69

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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.