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Finding the Third Proportional to 163,724 and 358,616

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Solution

The third proportional to 163,724 and 358,616 is: 785,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,724 : 358,616 = 358,616 : x
  2. Step 2: Convert to fraction form
    163,724/358,616 = 358,616/x
  3. Step 3: Cross multiply
    163,724x = 358,616 × 358,616
  4. Step 4: Simplify right side
    163,724x = 128,605,435,456
  5. Step 5: Solve for x
    x = 128,605,435,456/163,724
  6. Step 6: Final answer
    x = 785,501.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.