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Finding the Third Proportional to 164,710 and 359,536

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Solution

The third proportional to 164,710 and 359,536 is: 784,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,710 : 359,536 = 359,536 : x
  2. Step 2: Convert to fraction form
    164,710/359,536 = 359,536/x
  3. Step 3: Cross multiply
    164,710x = 359,536 × 359,536
  4. Step 4: Simplify right side
    164,710x = 129,266,135,296
  5. Step 5: Solve for x
    x = 129,266,135,296/164,710
  6. Step 6: Final answer
    x = 784,810.49

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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.