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Finding the Third Proportional to 282,669.75 and 317,935.13

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Solution

The third proportional to 282,669.75 and 317,935.13 is: 357,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,669.75 : 317,935.13 = 317,935.13 : x
  2. Step 2: Convert to fraction form
    282,669.75/317,935.13 = 317,935.13/x
  3. Step 3: Cross multiply
    282,669.75x = 317,935.13 × 317,935.13
  4. Step 4: Simplify right side
    282,669.75x = 101,082,743,708.77
  5. Step 5: Solve for x
    x = 101,082,743,708.77/282,669.75
  6. Step 6: Final answer
    x = 357,600.15

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.