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Finding the Third Proportional to 175,509 and 414,168

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Solution

The third proportional to 175,509 and 414,168 is: 977,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,509 : 414,168 = 414,168 : x
  2. Step 2: Convert to fraction form
    175,509/414,168 = 414,168/x
  3. Step 3: Cross multiply
    175,509x = 414,168 × 414,168
  4. Step 4: Simplify right side
    175,509x = 171,535,132,224
  5. Step 5: Solve for x
    x = 171,535,132,224/175,509
  6. Step 6: Final answer
    x = 977,358.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.