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Finding the Third Proportional to 202,744 and 314,700

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Solution

The third proportional to 202,744 and 314,700 is: 488,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,744 : 314,700 = 314,700 : x
  2. Step 2: Convert to fraction form
    202,744/314,700 = 314,700/x
  3. Step 3: Cross multiply
    202,744x = 314,700 × 314,700
  4. Step 4: Simplify right side
    202,744x = 99,036,090,000
  5. Step 5: Solve for x
    x = 99,036,090,000/202,744
  6. Step 6: Final answer
    x = 488,478.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.