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Finding the Third Proportional to 202,656 and 311,952

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Solution

The third proportional to 202,656 and 311,952 is: 480,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,656 : 311,952 = 311,952 : x
  2. Step 2: Convert to fraction form
    202,656/311,952 = 311,952/x
  3. Step 3: Cross multiply
    202,656x = 311,952 × 311,952
  4. Step 4: Simplify right side
    202,656x = 97,314,050,304
  5. Step 5: Solve for x
    x = 97,314,050,304/202,656
  6. Step 6: Final answer
    x = 480,193.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.