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Finding the Third Proportional to 155,717 and 243,953

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Solution

The third proportional to 155,717 and 243,953 is: 382,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,717 : 243,953 = 243,953 : x
  2. Step 2: Convert to fraction form
    155,717/243,953 = 243,953/x
  3. Step 3: Cross multiply
    155,717x = 243,953 × 243,953
  4. Step 4: Simplify right side
    155,717x = 59,513,066,209
  5. Step 5: Solve for x
    x = 59,513,066,209/155,717
  6. Step 6: Final answer
    x = 382,187.34

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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.