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Finding the Third Proportional to 242,700 and 362,178

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Solution

The third proportional to 242,700 and 362,178 is: 540,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,700 : 362,178 = 362,178 : x
  2. Step 2: Convert to fraction form
    242,700/362,178 = 362,178/x
  3. Step 3: Cross multiply
    242,700x = 362,178 × 362,178
  4. Step 4: Simplify right side
    242,700x = 131,172,903,684
  5. Step 5: Solve for x
    x = 131,172,903,684/242,700
  6. Step 6: Final answer
    x = 540,473.44

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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.