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Finding the Third Proportional to 144,702 and 224,032.50

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Solution

The third proportional to 144,702 and 224,032.50 is: 346,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,702 : 224,032.50 = 224,032.50 : x
  2. Step 2: Convert to fraction form
    144,702/224,032.50 = 224,032.50/x
  3. Step 3: Cross multiply
    144,702x = 224,032.50 × 224,032.50
  4. Step 4: Simplify right side
    144,702x = 50,190,561,056.25
  5. Step 5: Solve for x
    x = 50,190,561,056.25/144,702
  6. Step 6: Final answer
    x = 346,854.65

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