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Finding the Third Proportional to 221,270 and 335,248.50

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Solution

The third proportional to 221,270 and 335,248.50 is: 507,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,270 : 335,248.50 = 335,248.50 : x
  2. Step 2: Convert to fraction form
    221,270/335,248.50 = 335,248.50/x
  3. Step 3: Cross multiply
    221,270x = 335,248.50 × 335,248.50
  4. Step 4: Simplify right side
    221,270x = 112,391,556,752.25
  5. Step 5: Solve for x
    x = 112,391,556,752.25/221,270
  6. Step 6: Final answer
    x = 507,938.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.