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Finding the Third Proportional to 162,923.06 and 341,428.50

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Solution

The third proportional to 162,923.06 and 341,428.50 is: 715,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,923.06 : 341,428.50 = 341,428.50 : x
  2. Step 2: Convert to fraction form
    162,923.06/341,428.50 = 341,428.50/x
  3. Step 3: Cross multiply
    162,923.06x = 341,428.50 × 341,428.50
  4. Step 4: Simplify right side
    162,923.06x = 116,573,420,612.25
  5. Step 5: Solve for x
    x = 116,573,420,612.25/162,923.06
  6. Step 6: Final answer
    x = 715,512.09

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.