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Finding the Third Proportional to 223,314 and 335,011.50

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Solution

The third proportional to 223,314 and 335,011.50 is: 502,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,314 : 335,011.50 = 335,011.50 : x
  2. Step 2: Convert to fraction form
    223,314/335,011.50 = 335,011.50/x
  3. Step 3: Cross multiply
    223,314x = 335,011.50 × 335,011.50
  4. Step 4: Simplify right side
    223,314x = 112,232,705,132.25
  5. Step 5: Solve for x
    x = 112,232,705,132.25/223,314
  6. Step 6: Final answer
    x = 502,578.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.