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Finding the Third Proportional to 242,278.50 and 361,053

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Solution

The third proportional to 242,278.50 and 361,053 is: 538,055.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,278.50 : 361,053 = 361,053 : x
  2. Step 2: Convert to fraction form
    242,278.50/361,053 = 361,053/x
  3. Step 3: Cross multiply
    242,278.50x = 361,053 × 361,053
  4. Step 4: Simplify right side
    242,278.50x = 130,359,268,809
  5. Step 5: Solve for x
    x = 130,359,268,809/242,278.50
  6. Step 6: Final answer
    x = 538,055.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.