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Finding the Third Proportional to 158,006 and 338,155

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Solution

The third proportional to 158,006 and 338,155 is: 723,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,006 : 338,155 = 338,155 : x
  2. Step 2: Convert to fraction form
    158,006/338,155 = 338,155/x
  3. Step 3: Cross multiply
    158,006x = 338,155 × 338,155
  4. Step 4: Simplify right side
    158,006x = 114,348,804,025
  5. Step 5: Solve for x
    x = 114,348,804,025/158,006
  6. Step 6: Final answer
    x = 723,699.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.