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Finding the Third Proportional to 155,046 and 334,878

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Solution

The third proportional to 155,046 and 334,878 is: 723,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,046 : 334,878 = 334,878 : x
  2. Step 2: Convert to fraction form
    155,046/334,878 = 334,878/x
  3. Step 3: Cross multiply
    155,046x = 334,878 × 334,878
  4. Step 4: Simplify right side
    155,046x = 112,143,274,884
  5. Step 5: Solve for x
    x = 112,143,274,884/155,046
  6. Step 6: Final answer
    x = 723,290.35

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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.