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Finding the Third Proportional to 130,151 and 285,205

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Solution

The third proportional to 130,151 and 285,205 is: 624,980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,151 : 285,205 = 285,205 : x
  2. Step 2: Convert to fraction form
    130,151/285,205 = 285,205/x
  3. Step 3: Cross multiply
    130,151x = 285,205 × 285,205
  4. Step 4: Simplify right side
    130,151x = 81,341,892,025
  5. Step 5: Solve for x
    x = 81,341,892,025/130,151
  6. Step 6: Final answer
    x = 624,980.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.