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Finding the Third Proportional to 164,511 and 359,133.75

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Solution

The third proportional to 164,511 and 359,133.75 is: 784,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,511 : 359,133.75 = 359,133.75 : x
  2. Step 2: Convert to fraction form
    164,511/359,133.75 = 359,133.75/x
  3. Step 3: Cross multiply
    164,511x = 359,133.75 × 359,133.75
  4. Step 4: Simplify right side
    164,511x = 128,977,050,389.06
  5. Step 5: Solve for x
    x = 128,977,050,389.06/164,511
  6. Step 6: Final answer
    x = 784,002.59

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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.