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Finding the Third Proportional to 169,336 and 370,160

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Solution

The third proportional to 169,336 and 370,160 is: 809,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,336 : 370,160 = 370,160 : x
  2. Step 2: Convert to fraction form
    169,336/370,160 = 370,160/x
  3. Step 3: Cross multiply
    169,336x = 370,160 × 370,160
  4. Step 4: Simplify right side
    169,336x = 137,018,425,600
  5. Step 5: Solve for x
    x = 137,018,425,600/169,336
  6. Step 6: Final answer
    x = 809,151.19

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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.