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Finding the Third Proportional to 164,439 and 359,316

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Solution

The third proportional to 164,439 and 359,316 is: 785,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,439 : 359,316 = 359,316 : x
  2. Step 2: Convert to fraction form
    164,439/359,316 = 359,316/x
  3. Step 3: Cross multiply
    164,439x = 359,316 × 359,316
  4. Step 4: Simplify right side
    164,439x = 129,107,987,856
  5. Step 5: Solve for x
    x = 129,107,987,856/164,439
  6. Step 6: Final answer
    x = 785,142.14

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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.