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Finding the Third Proportional to 155,527.50 and 238,206

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Solution

The third proportional to 155,527.50 and 238,206 is: 364,836.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,527.50 : 238,206 = 238,206 : x
  2. Step 2: Convert to fraction form
    155,527.50/238,206 = 238,206/x
  3. Step 3: Cross multiply
    155,527.50x = 238,206 × 238,206
  4. Step 4: Simplify right side
    155,527.50x = 56,742,098,436
  5. Step 5: Solve for x
    x = 56,742,098,436/155,527.50
  6. Step 6: Final answer
    x = 364,836.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.