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Finding the Third Proportional to 155,386 and 340,301

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Solution

The third proportional to 155,386 and 340,301 is: 745,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,386 : 340,301 = 340,301 : x
  2. Step 2: Convert to fraction form
    155,386/340,301 = 340,301/x
  3. Step 3: Cross multiply
    155,386x = 340,301 × 340,301
  4. Step 4: Simplify right side
    155,386x = 115,804,770,601
  5. Step 5: Solve for x
    x = 115,804,770,601/155,386
  6. Step 6: Final answer
    x = 745,271.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.