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Finding the Third Proportional to 242,368.50 and 518,433

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Solution

The third proportional to 242,368.50 and 518,433 is: 1,108,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,368.50 : 518,433 = 518,433 : x
  2. Step 2: Convert to fraction form
    242,368.50/518,433 = 518,433/x
  3. Step 3: Cross multiply
    242,368.50x = 518,433 × 518,433
  4. Step 4: Simplify right side
    242,368.50x = 268,772,775,489
  5. Step 5: Solve for x
    x = 268,772,775,489/242,368.50
  6. Step 6: Final answer
    x = 1,108,942.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.