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Finding the Third Proportional to 155,178 and 237,277.13

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Solution

The third proportional to 155,178 and 237,277.13 is: 362,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,178 : 237,277.13 = 237,277.13 : x
  2. Step 2: Convert to fraction form
    155,178/237,277.13 = 237,277.13/x
  3. Step 3: Cross multiply
    155,178x = 237,277.13 × 237,277.13
  4. Step 4: Simplify right side
    155,178x = 56,300,434,048.27
  5. Step 5: Solve for x
    x = 56,300,434,048.27/155,178
  6. Step 6: Final answer
    x = 362,811.96

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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.