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Finding the Third Proportional to 162,083 and 352,537

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Solution

The third proportional to 162,083 and 352,537 is: 766,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,083 : 352,537 = 352,537 : x
  2. Step 2: Convert to fraction form
    162,083/352,537 = 352,537/x
  3. Step 3: Cross multiply
    162,083x = 352,537 × 352,537
  4. Step 4: Simplify right side
    162,083x = 124,282,336,369
  5. Step 5: Solve for x
    x = 124,282,336,369/162,083
  6. Step 6: Final answer
    x = 766,782.06

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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.