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Finding the Third Proportional to 164,476 and 358,648

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Solution

The third proportional to 164,476 and 358,648 is: 782,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,476 : 358,648 = 358,648 : x
  2. Step 2: Convert to fraction form
    164,476/358,648 = 358,648/x
  3. Step 3: Cross multiply
    164,476x = 358,648 × 358,648
  4. Step 4: Simplify right side
    164,476x = 128,628,387,904
  5. Step 5: Solve for x
    x = 128,628,387,904/164,476
  6. Step 6: Final answer
    x = 782,049.59

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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.