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Finding the Third Proportional to 123,284 and 265,558

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Solution

The third proportional to 123,284 and 265,558 is: 572,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,284 : 265,558 = 265,558 : x
  2. Step 2: Convert to fraction form
    123,284/265,558 = 265,558/x
  3. Step 3: Cross multiply
    123,284x = 265,558 × 265,558
  4. Step 4: Simplify right side
    123,284x = 70,521,051,364
  5. Step 5: Solve for x
    x = 70,521,051,364/123,284
  6. Step 6: Final answer
    x = 572,021.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.