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Finding the Third Proportional to 222,368 and 514,352

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Solution

The third proportional to 222,368 and 514,352 is: 1,189,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,368 : 514,352 = 514,352 : x
  2. Step 2: Convert to fraction form
    222,368/514,352 = 514,352/x
  3. Step 3: Cross multiply
    222,368x = 514,352 × 514,352
  4. Step 4: Simplify right side
    222,368x = 264,557,979,904
  5. Step 5: Solve for x
    x = 264,557,979,904/222,368
  6. Step 6: Final answer
    x = 1,189,730.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.