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Finding the Third Proportional to 125,306 and 270,313

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Solution

The third proportional to 125,306 and 270,313 is: 583,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,306 : 270,313 = 270,313 : x
  2. Step 2: Convert to fraction form
    125,306/270,313 = 270,313/x
  3. Step 3: Cross multiply
    125,306x = 270,313 × 270,313
  4. Step 4: Simplify right side
    125,306x = 73,069,117,969
  5. Step 5: Solve for x
    x = 73,069,117,969/125,306
  6. Step 6: Final answer
    x = 583,125.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.