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Finding the Third Proportional to 175,032 and 383,955

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Solution

The third proportional to 175,032 and 383,955 is: 842,254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,032 : 383,955 = 383,955 : x
  2. Step 2: Convert to fraction form
    175,032/383,955 = 383,955/x
  3. Step 3: Cross multiply
    175,032x = 383,955 × 383,955
  4. Step 4: Simplify right side
    175,032x = 147,421,442,025
  5. Step 5: Solve for x
    x = 147,421,442,025/175,032
  6. Step 6: Final answer
    x = 842,254.23

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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.