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Finding the Third Proportional to 163,062 and 343,854

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Solution

The third proportional to 163,062 and 343,854 is: 725,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,062 : 343,854 = 343,854 : x
  2. Step 2: Convert to fraction form
    163,062/343,854 = 343,854/x
  3. Step 3: Cross multiply
    163,062x = 343,854 × 343,854
  4. Step 4: Simplify right side
    163,062x = 118,235,573,316
  5. Step 5: Solve for x
    x = 118,235,573,316/163,062
  6. Step 6: Final answer
    x = 725,095.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.