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Finding the Third Proportional to 207,242 and 314,914

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Solution

The third proportional to 207,242 and 314,914 is: 478,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,242 : 314,914 = 314,914 : x
  2. Step 2: Convert to fraction form
    207,242/314,914 = 314,914/x
  3. Step 3: Cross multiply
    207,242x = 314,914 × 314,914
  4. Step 4: Simplify right side
    207,242x = 99,170,827,396
  5. Step 5: Solve for x
    x = 99,170,827,396/207,242
  6. Step 6: Final answer
    x = 478,526.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.