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Finding the Third Proportional to 158,278 and 337,148

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Solution

The third proportional to 158,278 and 337,148 is: 718,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,278 : 337,148 = 337,148 : x
  2. Step 2: Convert to fraction form
    158,278/337,148 = 337,148/x
  3. Step 3: Cross multiply
    158,278x = 337,148 × 337,148
  4. Step 4: Simplify right side
    158,278x = 113,668,773,904
  5. Step 5: Solve for x
    x = 113,668,773,904/158,278
  6. Step 6: Final answer
    x = 718,159.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.