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Finding the Third Proportional to 163,196 and 358,510

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Solution

The third proportional to 163,196 and 358,510 is: 787,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,196 : 358,510 = 358,510 : x
  2. Step 2: Convert to fraction form
    163,196/358,510 = 358,510/x
  3. Step 3: Cross multiply
    163,196x = 358,510 × 358,510
  4. Step 4: Simplify right side
    163,196x = 128,529,420,100
  5. Step 5: Solve for x
    x = 128,529,420,100/163,196
  6. Step 6: Final answer
    x = 787,577.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.