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Finding the Third Proportional to 167,533 and 358,438

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Solution

The third proportional to 167,533 and 358,438 is: 766,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,533 : 358,438 = 358,438 : x
  2. Step 2: Convert to fraction form
    167,533/358,438 = 358,438/x
  3. Step 3: Cross multiply
    167,533x = 358,438 × 358,438
  4. Step 4: Simplify right side
    167,533x = 128,477,799,844
  5. Step 5: Solve for x
    x = 128,477,799,844/167,533
  6. Step 6: Final answer
    x = 766,880.55

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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.