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Finding the Third Proportional to 242,133.75 and 478,071

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Solution

The third proportional to 242,133.75 and 478,071 is: 943,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,133.75 : 478,071 = 478,071 : x
  2. Step 2: Convert to fraction form
    242,133.75/478,071 = 478,071/x
  3. Step 3: Cross multiply
    242,133.75x = 478,071 × 478,071
  4. Step 4: Simplify right side
    242,133.75x = 228,551,881,041
  5. Step 5: Solve for x
    x = 228,551,881,041/242,133.75
  6. Step 6: Final answer
    x = 943,907.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.