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Finding the Third Proportional to 163,090 and 337,367

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Solution

The third proportional to 163,090 and 337,367 is: 697,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,090 : 337,367 = 337,367 : x
  2. Step 2: Convert to fraction form
    163,090/337,367 = 337,367/x
  3. Step 3: Cross multiply
    163,090x = 337,367 × 337,367
  4. Step 4: Simplify right side
    163,090x = 113,816,492,689
  5. Step 5: Solve for x
    x = 113,816,492,689/163,090
  6. Step 6: Final answer
    x = 697,875.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.