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Finding the Third Proportional to 166,065 and 358,386

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Solution

The third proportional to 166,065 and 358,386 is: 773,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,065 : 358,386 = 358,386 : x
  2. Step 2: Convert to fraction form
    166,065/358,386 = 358,386/x
  3. Step 3: Cross multiply
    166,065x = 358,386 × 358,386
  4. Step 4: Simplify right side
    166,065x = 128,440,524,996
  5. Step 5: Solve for x
    x = 128,440,524,996/166,065
  6. Step 6: Final answer
    x = 773,435.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.