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Finding the Third Proportional to 233,298 and 337,209.75

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Solution

The third proportional to 233,298 and 337,209.75 is: 487,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298 : 337,209.75 = 337,209.75 : x
  2. Step 2: Convert to fraction form
    233,298/337,209.75 = 337,209.75/x
  3. Step 3: Cross multiply
    233,298x = 337,209.75 × 337,209.75
  4. Step 4: Simplify right side
    233,298x = 113,710,415,495.06
  5. Step 5: Solve for x
    x = 113,710,415,495.06/233,298
  6. Step 6: Final answer
    x = 487,404.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.