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Finding the Third Proportional to 174,302.25 and 369,531.75

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Solution

The third proportional to 174,302.25 and 369,531.75 is: 783,430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,302.25 : 369,531.75 = 369,531.75 : x
  2. Step 2: Convert to fraction form
    174,302.25/369,531.75 = 369,531.75/x
  3. Step 3: Cross multiply
    174,302.25x = 369,531.75 × 369,531.75
  4. Step 4: Simplify right side
    174,302.25x = 136,553,714,258.06
  5. Step 5: Solve for x
    x = 136,553,714,258.06/174,302.25
  6. Step 6: Final answer
    x = 783,430.59

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.