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Finding the Third Proportional to 153,780 and 332,824.50

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Solution

The third proportional to 153,780 and 332,824.50 is: 720,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,780 : 332,824.50 = 332,824.50 : x
  2. Step 2: Convert to fraction form
    153,780/332,824.50 = 332,824.50/x
  3. Step 3: Cross multiply
    153,780x = 332,824.50 × 332,824.50
  4. Step 4: Simplify right side
    153,780x = 110,772,147,800.25
  5. Step 5: Solve for x
    x = 110,772,147,800.25/153,780
  6. Step 6: Final answer
    x = 720,328.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.