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Finding the Third Proportional to 223,960 and 346,784

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Solution

The third proportional to 223,960 and 346,784 is: 536,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,960 : 346,784 = 346,784 : x
  2. Step 2: Convert to fraction form
    223,960/346,784 = 346,784/x
  3. Step 3: Cross multiply
    223,960x = 346,784 × 346,784
  4. Step 4: Simplify right side
    223,960x = 120,259,142,656
  5. Step 5: Solve for x
    x = 120,259,142,656/223,960
  6. Step 6: Final answer
    x = 536,967.06

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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.