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Finding the Third Proportional to 164,305 and 359,024

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Solution

The third proportional to 164,305 and 359,024 is: 784,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,305 : 359,024 = 359,024 : x
  2. Step 2: Convert to fraction form
    164,305/359,024 = 359,024/x
  3. Step 3: Cross multiply
    164,305x = 359,024 × 359,024
  4. Step 4: Simplify right side
    164,305x = 128,898,232,576
  5. Step 5: Solve for x
    x = 128,898,232,576/164,305
  6. Step 6: Final answer
    x = 784,505.84

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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.