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Finding the Third Proportional to 180,052 and 392,502

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Solution

The third proportional to 180,052 and 392,502 is: 855,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,052 : 392,502 = 392,502 : x
  2. Step 2: Convert to fraction form
    180,052/392,502 = 392,502/x
  3. Step 3: Cross multiply
    180,052x = 392,502 × 392,502
  4. Step 4: Simplify right side
    180,052x = 154,057,820,004
  5. Step 5: Solve for x
    x = 154,057,820,004/180,052
  6. Step 6: Final answer
    x = 855,629.60

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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.