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Finding the Third Proportional to 233,972 and 319,854

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Solution

The third proportional to 233,972 and 319,854 is: 437,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,972 : 319,854 = 319,854 : x
  2. Step 2: Convert to fraction form
    233,972/319,854 = 319,854/x
  3. Step 3: Cross multiply
    233,972x = 319,854 × 319,854
  4. Step 4: Simplify right side
    233,972x = 102,306,581,316
  5. Step 5: Solve for x
    x = 102,306,581,316/233,972
  6. Step 6: Final answer
    x = 437,259.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.