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Finding the Third Proportional to 164,484 and 352,288

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Solution

The third proportional to 164,484 and 352,288 is: 754,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 352,288 = 352,288 : x
  2. Step 2: Convert to fraction form
    164,484/352,288 = 352,288/x
  3. Step 3: Cross multiply
    164,484x = 352,288 × 352,288
  4. Step 4: Simplify right side
    164,484x = 124,106,834,944
  5. Step 5: Solve for x
    x = 124,106,834,944/164,484
  6. Step 6: Final answer
    x = 754,522.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.