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Finding the Third Proportional to 119,535.75 and 260,803.13

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Solution

The third proportional to 119,535.75 and 260,803.13 is: 569,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,535.75 : 260,803.13 = 260,803.13 : x
  2. Step 2: Convert to fraction form
    119,535.75/260,803.13 = 260,803.13/x
  3. Step 3: Cross multiply
    119,535.75x = 260,803.13 × 260,803.13
  4. Step 4: Simplify right side
    119,535.75x = 68,018,270,009.77
  5. Step 5: Solve for x
    x = 68,018,270,009.77/119,535.75
  6. Step 6: Final answer
    x = 569,020.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.