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Finding the Third Proportional to 164,106 and 386,370

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Solution

The third proportional to 164,106 and 386,370 is: 909,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,106 : 386,370 = 386,370 : x
  2. Step 2: Convert to fraction form
    164,106/386,370 = 386,370/x
  3. Step 3: Cross multiply
    164,106x = 386,370 × 386,370
  4. Step 4: Simplify right side
    164,106x = 149,281,776,900
  5. Step 5: Solve for x
    x = 149,281,776,900/164,106
  6. Step 6: Final answer
    x = 909,666.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.