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Finding the Third Proportional to 163,040 and 348,468

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Solution

The third proportional to 163,040 and 348,468 is: 744,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,040 : 348,468 = 348,468 : x
  2. Step 2: Convert to fraction form
    163,040/348,468 = 348,468/x
  3. Step 3: Cross multiply
    163,040x = 348,468 × 348,468
  4. Step 4: Simplify right side
    163,040x = 121,429,947,024
  5. Step 5: Solve for x
    x = 121,429,947,024/163,040
  6. Step 6: Final answer
    x = 744,786.23

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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.