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Finding the Third Proportional to 223,268 and 334,943

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Solution

The third proportional to 223,268 and 334,943 is: 502,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,268 : 334,943 = 334,943 : x
  2. Step 2: Convert to fraction form
    223,268/334,943 = 334,943/x
  3. Step 3: Cross multiply
    223,268x = 334,943 × 334,943
  4. Step 4: Simplify right side
    223,268x = 112,186,813,249
  5. Step 5: Solve for x
    x = 112,186,813,249/223,268
  6. Step 6: Final answer
    x = 502,476.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.