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Finding the Third Proportional to 200,358 and 434,952

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Solution

The third proportional to 200,358 and 434,952 is: 944,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,358 : 434,952 = 434,952 : x
  2. Step 2: Convert to fraction form
    200,358/434,952 = 434,952/x
  3. Step 3: Cross multiply
    200,358x = 434,952 × 434,952
  4. Step 4: Simplify right side
    200,358x = 189,183,242,304
  5. Step 5: Solve for x
    x = 189,183,242,304/200,358
  6. Step 6: Final answer
    x = 944,226.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.