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Finding the Third Proportional to 191,324 and 417,095

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Solution

The third proportional to 191,324 and 417,095 is: 909,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,324 : 417,095 = 417,095 : x
  2. Step 2: Convert to fraction form
    191,324/417,095 = 417,095/x
  3. Step 3: Cross multiply
    191,324x = 417,095 × 417,095
  4. Step 4: Simplify right side
    191,324x = 173,968,239,025
  5. Step 5: Solve for x
    x = 173,968,239,025/191,324
  6. Step 6: Final answer
    x = 909,286.02

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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.