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Finding the Third Proportional to 164,506 and 358,766

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Solution

The third proportional to 164,506 and 358,766 is: 782,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,506 : 358,766 = 358,766 : x
  2. Step 2: Convert to fraction form
    164,506/358,766 = 358,766/x
  3. Step 3: Cross multiply
    164,506x = 358,766 × 358,766
  4. Step 4: Simplify right side
    164,506x = 128,713,042,756
  5. Step 5: Solve for x
    x = 128,713,042,756/164,506
  6. Step 6: Final answer
    x = 782,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.