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Finding the Third Proportional to 202,689 and 317,938.50

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Solution

The third proportional to 202,689 and 317,938.50 is: 498,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,689 : 317,938.50 = 317,938.50 : x
  2. Step 2: Convert to fraction form
    202,689/317,938.50 = 317,938.50/x
  3. Step 3: Cross multiply
    202,689x = 317,938.50 × 317,938.50
  4. Step 4: Simplify right side
    202,689x = 101,084,889,782.25
  5. Step 5: Solve for x
    x = 101,084,889,782.25/202,689
  6. Step 6: Final answer
    x = 498,719.17

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