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Finding the Third Proportional to 158,645 and 332,854

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Solution

The third proportional to 158,645 and 332,854 is: 698,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,645 : 332,854 = 332,854 : x
  2. Step 2: Convert to fraction form
    158,645/332,854 = 332,854/x
  3. Step 3: Cross multiply
    158,645x = 332,854 × 332,854
  4. Step 4: Simplify right side
    158,645x = 110,791,785,316
  5. Step 5: Solve for x
    x = 110,791,785,316/158,645
  6. Step 6: Final answer
    x = 698,362.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.