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Finding the Third Proportional to 190,164 and 407,316

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Solution

The third proportional to 190,164 and 407,316 is: 872,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,164 : 407,316 = 407,316 : x
  2. Step 2: Convert to fraction form
    190,164/407,316 = 407,316/x
  3. Step 3: Cross multiply
    190,164x = 407,316 × 407,316
  4. Step 4: Simplify right side
    190,164x = 165,906,323,856
  5. Step 5: Solve for x
    x = 165,906,323,856/190,164
  6. Step 6: Final answer
    x = 872,438.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.