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Finding the Third Proportional to 155,270 and 334,312

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Solution

The third proportional to 155,270 and 334,312 is: 719,807.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,270 : 334,312 = 334,312 : x
  2. Step 2: Convert to fraction form
    155,270/334,312 = 334,312/x
  3. Step 3: Cross multiply
    155,270x = 334,312 × 334,312
  4. Step 4: Simplify right side
    155,270x = 111,764,513,344
  5. Step 5: Solve for x
    x = 111,764,513,344/155,270
  6. Step 6: Final answer
    x = 719,807.52

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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.