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Finding the Third Proportional to 191,816 and 417,952

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Solution

The third proportional to 191,816 and 417,952 is: 910,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,816 : 417,952 = 417,952 : x
  2. Step 2: Convert to fraction form
    191,816/417,952 = 417,952/x
  3. Step 3: Cross multiply
    191,816x = 417,952 × 417,952
  4. Step 4: Simplify right side
    191,816x = 174,683,874,304
  5. Step 5: Solve for x
    x = 174,683,874,304/191,816
  6. Step 6: Final answer
    x = 910,684.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.