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Finding the Third Proportional to 237,076 and 354,209.25

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Solution

The third proportional to 237,076 and 354,209.25 is: 529,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,076 : 354,209.25 = 354,209.25 : x
  2. Step 2: Convert to fraction form
    237,076/354,209.25 = 354,209.25/x
  3. Step 3: Cross multiply
    237,076x = 354,209.25 × 354,209.25
  4. Step 4: Simplify right side
    237,076x = 125,464,192,785.56
  5. Step 5: Solve for x
    x = 125,464,192,785.56/237,076
  6. Step 6: Final answer
    x = 529,215.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.