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Finding the Third Proportional to 233,295.75 and 357,315.75

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Solution

The third proportional to 233,295.75 and 357,315.75 is: 547,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.75 : 357,315.75 = 357,315.75 : x
  2. Step 2: Convert to fraction form
    233,295.75/357,315.75 = 357,315.75/x
  3. Step 3: Cross multiply
    233,295.75x = 357,315.75 × 357,315.75
  4. Step 4: Simplify right side
    233,295.75x = 127,674,545,198.06
  5. Step 5: Solve for x
    x = 127,674,545,198.06/233,295.75
  6. Step 6: Final answer
    x = 547,264.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.