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Finding the Third Proportional to 189,292 and 417,968

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Solution

The third proportional to 189,292 and 417,968 is: 922,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,292 : 417,968 = 417,968 : x
  2. Step 2: Convert to fraction form
    189,292/417,968 = 417,968/x
  3. Step 3: Cross multiply
    189,292x = 417,968 × 417,968
  4. Step 4: Simplify right side
    189,292x = 174,697,249,024
  5. Step 5: Solve for x
    x = 174,697,249,024/189,292
  6. Step 6: Final answer
    x = 922,898.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.