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Finding the Third Proportional to 236,905 and 518,096.50

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Solution

The third proportional to 236,905 and 518,096.50 is: 1,133,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,905 : 518,096.50 = 518,096.50 : x
  2. Step 2: Convert to fraction form
    236,905/518,096.50 = 518,096.50/x
  3. Step 3: Cross multiply
    236,905x = 518,096.50 × 518,096.50
  4. Step 4: Simplify right side
    236,905x = 268,423,983,312.25
  5. Step 5: Solve for x
    x = 268,423,983,312.25/236,905
  6. Step 6: Final answer
    x = 1,133,044.82

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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.