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Finding the Third Proportional to 233,937 and 371,901.75

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Solution

The third proportional to 233,937 and 371,901.75 is: 591,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,937 : 371,901.75 = 371,901.75 : x
  2. Step 2: Convert to fraction form
    233,937/371,901.75 = 371,901.75/x
  3. Step 3: Cross multiply
    233,937x = 371,901.75 × 371,901.75
  4. Step 4: Simplify right side
    233,937x = 138,310,911,653.06
  5. Step 5: Solve for x
    x = 138,310,911,653.06/233,937
  6. Step 6: Final answer
    x = 591,231.45

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