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Finding the Third Proportional to 158,101 and 373,205

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Solution

The third proportional to 158,101 and 373,205 is: 880,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,101 : 373,205 = 373,205 : x
  2. Step 2: Convert to fraction form
    158,101/373,205 = 373,205/x
  3. Step 3: Cross multiply
    158,101x = 373,205 × 373,205
  4. Step 4: Simplify right side
    158,101x = 139,281,972,025
  5. Step 5: Solve for x
    x = 139,281,972,025/158,101
  6. Step 6: Final answer
    x = 880,968.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.