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Finding the Third Proportional to 163,541 and 358,186

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Solution

The third proportional to 163,541 and 358,186 is: 784,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,541 : 358,186 = 358,186 : x
  2. Step 2: Convert to fraction form
    163,541/358,186 = 358,186/x
  3. Step 3: Cross multiply
    163,541x = 358,186 × 358,186
  4. Step 4: Simplify right side
    163,541x = 128,297,210,596
  5. Step 5: Solve for x
    x = 128,297,210,596/163,541
  6. Step 6: Final answer
    x = 784,495.70

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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.