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Finding the Third Proportional to 143,895 and 293,499

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Solution

The third proportional to 143,895 and 293,499 is: 598,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,895 : 293,499 = 293,499 : x
  2. Step 2: Convert to fraction form
    143,895/293,499 = 293,499/x
  3. Step 3: Cross multiply
    143,895x = 293,499 × 293,499
  4. Step 4: Simplify right side
    143,895x = 86,141,663,001
  5. Step 5: Solve for x
    x = 86,141,663,001/143,895
  6. Step 6: Final answer
    x = 598,642.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.