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Finding the Third Proportional to 191,460 and 417,360

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Solution

The third proportional to 191,460 and 417,360 is: 909,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,460 : 417,360 = 417,360 : x
  2. Step 2: Convert to fraction form
    191,460/417,360 = 417,360/x
  3. Step 3: Cross multiply
    191,460x = 417,360 × 417,360
  4. Step 4: Simplify right side
    191,460x = 174,189,369,600
  5. Step 5: Solve for x
    x = 174,189,369,600/191,460
  6. Step 6: Final answer
    x = 909,795.10

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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.