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Finding the Third Proportional to 243,022.50 and 374,683.50

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Solution

The third proportional to 243,022.50 and 374,683.50 is: 577,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,022.50 : 374,683.50 = 374,683.50 : x
  2. Step 2: Convert to fraction form
    243,022.50/374,683.50 = 374,683.50/x
  3. Step 3: Cross multiply
    243,022.50x = 374,683.50 × 374,683.50
  4. Step 4: Simplify right side
    243,022.50x = 140,387,725,172.25
  5. Step 5: Solve for x
    x = 140,387,725,172.25/243,022.50
  6. Step 6: Final answer
    x = 577,673.78

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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.