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Finding the Third Proportional to 165,264 and 357,024

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Solution

The third proportional to 165,264 and 357,024 is: 771,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,264 : 357,024 = 357,024 : x
  2. Step 2: Convert to fraction form
    165,264/357,024 = 357,024/x
  3. Step 3: Cross multiply
    165,264x = 357,024 × 357,024
  4. Step 4: Simplify right side
    165,264x = 127,466,136,576
  5. Step 5: Solve for x
    x = 127,466,136,576/165,264
  6. Step 6: Final answer
    x = 771,287.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.