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Finding the Third Proportional to 154,851 and 335,046

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Solution

The third proportional to 154,851 and 335,046 is: 724,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,851 : 335,046 = 335,046 : x
  2. Step 2: Convert to fraction form
    154,851/335,046 = 335,046/x
  3. Step 3: Cross multiply
    154,851x = 335,046 × 335,046
  4. Step 4: Simplify right side
    154,851x = 112,255,822,116
  5. Step 5: Solve for x
    x = 112,255,822,116/154,851
  6. Step 6: Final answer
    x = 724,927.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.