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Finding the Third Proportional to 164,046 and 357,740

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Solution

The third proportional to 164,046 and 357,740 is: 780,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046 : 357,740 = 357,740 : x
  2. Step 2: Convert to fraction form
    164,046/357,740 = 357,740/x
  3. Step 3: Cross multiply
    164,046x = 357,740 × 357,740
  4. Step 4: Simplify right side
    164,046x = 127,977,907,600
  5. Step 5: Solve for x
    x = 127,977,907,600/164,046
  6. Step 6: Final answer
    x = 780,134.28

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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.