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Finding the Third Proportional to 233,295.75 and 360,256.50

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Solution

The third proportional to 233,295.75 and 360,256.50 is: 556,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295.75 : 360,256.50 = 360,256.50 : x
  2. Step 2: Convert to fraction form
    233,295.75/360,256.50 = 360,256.50/x
  3. Step 3: Cross multiply
    233,295.75x = 360,256.50 × 360,256.50
  4. Step 4: Simplify right side
    233,295.75x = 129,784,745,792.25
  5. Step 5: Solve for x
    x = 129,784,745,792.25/233,295.75
  6. Step 6: Final answer
    x = 556,309.94

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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.