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Finding the Third Proportional to 118,239 and 259,473

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Solution

The third proportional to 118,239 and 259,473 is: 569,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,239 : 259,473 = 259,473 : x
  2. Step 2: Convert to fraction form
    118,239/259,473 = 259,473/x
  3. Step 3: Cross multiply
    118,239x = 259,473 × 259,473
  4. Step 4: Simplify right side
    118,239x = 67,326,237,729
  5. Step 5: Solve for x
    x = 67,326,237,729/118,239
  6. Step 6: Final answer
    x = 569,408.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.