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Finding the Third Proportional to 243,641.25 and 374,969.25

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Solution

The third proportional to 243,641.25 and 374,969.25 is: 577,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,641.25 : 374,969.25 = 374,969.25 : x
  2. Step 2: Convert to fraction form
    243,641.25/374,969.25 = 374,969.25/x
  3. Step 3: Cross multiply
    243,641.25x = 374,969.25 × 374,969.25
  4. Step 4: Simplify right side
    243,641.25x = 140,601,938,445.56
  5. Step 5: Solve for x
    x = 140,601,938,445.56/243,641.25
  6. Step 6: Final answer
    x = 577,085.93

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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.