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Finding the Third Proportional to 155,288 and 334,332

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Solution

The third proportional to 155,288 and 334,332 is: 719,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,288 : 334,332 = 334,332 : x
  2. Step 2: Convert to fraction form
    155,288/334,332 = 334,332/x
  3. Step 3: Cross multiply
    155,288x = 334,332 × 334,332
  4. Step 4: Simplify right side
    155,288x = 111,777,886,224
  5. Step 5: Solve for x
    x = 111,777,886,224/155,288
  6. Step 6: Final answer
    x = 719,810.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.