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Finding the Third Proportional to 164,110 and 358,592

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Solution

The third proportional to 164,110 and 358,592 is: 783,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,110 : 358,592 = 358,592 : x
  2. Step 2: Convert to fraction form
    164,110/358,592 = 358,592/x
  3. Step 3: Cross multiply
    164,110x = 358,592 × 358,592
  4. Step 4: Simplify right side
    164,110x = 128,588,222,464
  5. Step 5: Solve for x
    x = 128,588,222,464/164,110
  6. Step 6: Final answer
    x = 783,548.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.