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Finding the Third Proportional to 152,411.25 and 334,988.63

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Solution

The third proportional to 152,411.25 and 334,988.63 is: 736,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,411.25 : 334,988.63 = 334,988.63 : x
  2. Step 2: Convert to fraction form
    152,411.25/334,988.63 = 334,988.63/x
  3. Step 3: Cross multiply
    152,411.25x = 334,988.63 × 334,988.63
  4. Step 4: Simplify right side
    152,411.25x = 112,217,378,879.39
  5. Step 5: Solve for x
    x = 112,217,378,879.39/152,411.25
  6. Step 6: Final answer
    x = 736,280.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.