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Finding the Third Proportional to 202,710 and 317,988

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Solution

The third proportional to 202,710 and 317,988 is: 498,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,710 : 317,988 = 317,988 : x
  2. Step 2: Convert to fraction form
    202,710/317,988 = 317,988/x
  3. Step 3: Cross multiply
    202,710x = 317,988 × 317,988
  4. Step 4: Simplify right side
    202,710x = 101,116,368,144
  5. Step 5: Solve for x
    x = 101,116,368,144/202,710
  6. Step 6: Final answer
    x = 498,822.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.