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Finding the Third Proportional to 153,559 and 332,270

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Solution

The third proportional to 153,559 and 332,270 is: 718,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,559 : 332,270 = 332,270 : x
  2. Step 2: Convert to fraction form
    153,559/332,270 = 332,270/x
  3. Step 3: Cross multiply
    153,559x = 332,270 × 332,270
  4. Step 4: Simplify right side
    153,559x = 110,403,352,900
  5. Step 5: Solve for x
    x = 110,403,352,900/153,559
  6. Step 6: Final answer
    x = 718,963.74

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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.