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Finding the Third Proportional to 202,675.50 and 317,838

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Solution

The third proportional to 202,675.50 and 317,838 is: 498,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,675.50 : 317,838 = 317,838 : x
  2. Step 2: Convert to fraction form
    202,675.50/317,838 = 317,838/x
  3. Step 3: Cross multiply
    202,675.50x = 317,838 × 317,838
  4. Step 4: Simplify right side
    202,675.50x = 101,020,994,244
  5. Step 5: Solve for x
    x = 101,020,994,244/202,675.50
  6. Step 6: Final answer
    x = 498,437.13

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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.