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Finding the Third Proportional to 123,146.63 and 265,290

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Solution

The third proportional to 123,146.63 and 265,290 is: 571,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,146.63 : 265,290 = 265,290 : x
  2. Step 2: Convert to fraction form
    123,146.63/265,290 = 265,290/x
  3. Step 3: Cross multiply
    123,146.63x = 265,290 × 265,290
  4. Step 4: Simplify right side
    123,146.63x = 70,378,784,100
  5. Step 5: Solve for x
    x = 70,378,784,100/123,146.63
  6. Step 6: Final answer
    x = 571,503.96

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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.