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Finding the Third Proportional to 223,572 and 338,248

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Solution

The third proportional to 223,572 and 338,248 is: 511,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,572 : 338,248 = 338,248 : x
  2. Step 2: Convert to fraction form
    223,572/338,248 = 338,248/x
  3. Step 3: Cross multiply
    223,572x = 338,248 × 338,248
  4. Step 4: Simplify right side
    223,572x = 114,411,709,504
  5. Step 5: Solve for x
    x = 114,411,709,504/223,572
  6. Step 6: Final answer
    x = 511,744.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.