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Finding the Third Proportional to 153,180 and 334,764

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Solution

The third proportional to 153,180 and 334,764 is: 731,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,180 : 334,764 = 334,764 : x
  2. Step 2: Convert to fraction form
    153,180/334,764 = 334,764/x
  3. Step 3: Cross multiply
    153,180x = 334,764 × 334,764
  4. Step 4: Simplify right side
    153,180x = 112,066,935,696
  5. Step 5: Solve for x
    x = 112,066,935,696/153,180
  6. Step 6: Final answer
    x = 731,602.92

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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.