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Finding the Third Proportional to 163,209 and 346,011

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Solution

The third proportional to 163,209 and 346,011 is: 733,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,209 : 346,011 = 346,011 : x
  2. Step 2: Convert to fraction form
    163,209/346,011 = 346,011/x
  3. Step 3: Cross multiply
    163,209x = 346,011 × 346,011
  4. Step 4: Simplify right side
    163,209x = 119,723,612,121
  5. Step 5: Solve for x
    x = 119,723,612,121/163,209
  6. Step 6: Final answer
    x = 733,560.11

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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.