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Finding the Third Proportional to 237,610 and 314,077

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Solution

The third proportional to 237,610 and 314,077 is: 415,152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,610 : 314,077 = 314,077 : x
  2. Step 2: Convert to fraction form
    237,610/314,077 = 314,077/x
  3. Step 3: Cross multiply
    237,610x = 314,077 × 314,077
  4. Step 4: Simplify right side
    237,610x = 98,644,361,929
  5. Step 5: Solve for x
    x = 98,644,361,929/237,610
  6. Step 6: Final answer
    x = 415,152.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.