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Finding the Third Proportional to 155,856 and 340,877

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Solution

The third proportional to 155,856 and 340,877 is: 745,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,856 : 340,877 = 340,877 : x
  2. Step 2: Convert to fraction form
    155,856/340,877 = 340,877/x
  3. Step 3: Cross multiply
    155,856x = 340,877 × 340,877
  4. Step 4: Simplify right side
    155,856x = 116,197,129,129
  5. Step 5: Solve for x
    x = 116,197,129,129/155,856
  6. Step 6: Final answer
    x = 745,541.58

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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.