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Finding the Third Proportional to 153,070 and 335,676

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Solution

The third proportional to 153,070 and 335,676 is: 736,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,070 : 335,676 = 335,676 : x
  2. Step 2: Convert to fraction form
    153,070/335,676 = 335,676/x
  3. Step 3: Cross multiply
    153,070x = 335,676 × 335,676
  4. Step 4: Simplify right side
    153,070x = 112,678,376,976
  5. Step 5: Solve for x
    x = 112,678,376,976/153,070
  6. Step 6: Final answer
    x = 736,123.19

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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.