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Finding the Third Proportional to 153,612.75 and 334,152.75

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Solution

The third proportional to 153,612.75 and 334,152.75 is: 726,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,612.75 : 334,152.75 = 334,152.75 : x
  2. Step 2: Convert to fraction form
    153,612.75/334,152.75 = 334,152.75/x
  3. Step 3: Cross multiply
    153,612.75x = 334,152.75 × 334,152.75
  4. Step 4: Simplify right side
    153,612.75x = 111,658,060,332.56
  5. Step 5: Solve for x
    x = 111,658,060,332.56/153,612.75
  6. Step 6: Final answer
    x = 726,880.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.