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Finding the Third Proportional to 233,265 and 330,346.50

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Solution

The third proportional to 233,265 and 330,346.50 is: 467,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265 : 330,346.50 = 330,346.50 : x
  2. Step 2: Convert to fraction form
    233,265/330,346.50 = 330,346.50/x
  3. Step 3: Cross multiply
    233,265x = 330,346.50 × 330,346.50
  4. Step 4: Simplify right side
    233,265x = 109,128,810,062.25
  5. Step 5: Solve for x
    x = 109,128,810,062.25/233,265
  6. Step 6: Final answer
    x = 467,831.91

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.