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Finding the Third Proportional to 163,979 and 358,332

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Solution

The third proportional to 163,979 and 358,332 is: 783,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,979 : 358,332 = 358,332 : x
  2. Step 2: Convert to fraction form
    163,979/358,332 = 358,332/x
  3. Step 3: Cross multiply
    163,979x = 358,332 × 358,332
  4. Step 4: Simplify right side
    163,979x = 128,401,822,224
  5. Step 5: Solve for x
    x = 128,401,822,224/163,979
  6. Step 6: Final answer
    x = 783,038.21

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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.