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Finding the Third Proportional to 223,929 and 346,711.50

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Solution

The third proportional to 223,929 and 346,711.50 is: 536,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,929 : 346,711.50 = 346,711.50 : x
  2. Step 2: Convert to fraction form
    223,929/346,711.50 = 346,711.50/x
  3. Step 3: Cross multiply
    223,929x = 346,711.50 × 346,711.50
  4. Step 4: Simplify right side
    223,929x = 120,208,864,232.25
  5. Step 5: Solve for x
    x = 120,208,864,232.25/223,929
  6. Step 6: Final answer
    x = 536,816.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.