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Finding the Third Proportional to 163,597 and 346,057

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Solution

The third proportional to 163,597 and 346,057 is: 732,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,597 : 346,057 = 346,057 : x
  2. Step 2: Convert to fraction form
    163,597/346,057 = 346,057/x
  3. Step 3: Cross multiply
    163,597x = 346,057 × 346,057
  4. Step 4: Simplify right side
    163,597x = 119,755,447,249
  5. Step 5: Solve for x
    x = 119,755,447,249/163,597
  6. Step 6: Final answer
    x = 732,014.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.