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Finding the Third Proportional to 233,434.50 and 371,613

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Solution

The third proportional to 233,434.50 and 371,613 is: 591,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,434.50 : 371,613 = 371,613 : x
  2. Step 2: Convert to fraction form
    233,434.50/371,613 = 371,613/x
  3. Step 3: Cross multiply
    233,434.50x = 371,613 × 371,613
  4. Step 4: Simplify right side
    233,434.50x = 138,096,221,769
  5. Step 5: Solve for x
    x = 138,096,221,769/233,434.50
  6. Step 6: Final answer
    x = 591,584.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.