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Finding the Third Proportional to 233,160.75 and 370,766.25

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Solution

The third proportional to 233,160.75 and 370,766.25 is: 589,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,160.75 : 370,766.25 = 370,766.25 : x
  2. Step 2: Convert to fraction form
    233,160.75/370,766.25 = 370,766.25/x
  3. Step 3: Cross multiply
    233,160.75x = 370,766.25 × 370,766.25
  4. Step 4: Simplify right side
    233,160.75x = 137,467,612,139.06
  5. Step 5: Solve for x
    x = 137,467,612,139.06/233,160.75
  6. Step 6: Final answer
    x = 589,582.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.