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Finding the Third Proportional to 169,148 and 368,432

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Solution

The third proportional to 169,148 and 368,432 is: 802,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,148 : 368,432 = 368,432 : x
  2. Step 2: Convert to fraction form
    169,148/368,432 = 368,432/x
  3. Step 3: Cross multiply
    169,148x = 368,432 × 368,432
  4. Step 4: Simplify right side
    169,148x = 135,742,138,624
  5. Step 5: Solve for x
    x = 135,742,138,624/169,148
  6. Step 6: Final answer
    x = 802,505.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.