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Finding the Third Proportional to 223,333.88 and 346,084.31

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Solution

The third proportional to 223,333.88 and 346,084.31 is: 536,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,333.88 : 346,084.31 = 346,084.31 : x
  2. Step 2: Convert to fraction form
    223,333.88/346,084.31 = 346,084.31/x
  3. Step 3: Cross multiply
    223,333.88x = 346,084.31 × 346,084.31
  4. Step 4: Simplify right side
    223,333.88x = 119,774,351,358.60
  5. Step 5: Solve for x
    x = 119,774,351,358.60/223,333.88
  6. Step 6: Final answer
    x = 536,301.77

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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.