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Finding the Third Proportional to 243,418.50 and 374,382

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Solution

The third proportional to 243,418.50 and 374,382 is: 575,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,418.50 : 374,382 = 374,382 : x
  2. Step 2: Convert to fraction form
    243,418.50/374,382 = 374,382/x
  3. Step 3: Cross multiply
    243,418.50x = 374,382 × 374,382
  4. Step 4: Simplify right side
    243,418.50x = 140,161,881,924
  5. Step 5: Solve for x
    x = 140,161,881,924/243,418.50
  6. Step 6: Final answer
    x = 575,806.20

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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.