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Finding the Third Proportional to 157,548 and 242,164

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Solution

The third proportional to 157,548 and 242,164 is: 372,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,548 : 242,164 = 242,164 : x
  2. Step 2: Convert to fraction form
    157,548/242,164 = 242,164/x
  3. Step 3: Cross multiply
    157,548x = 242,164 × 242,164
  4. Step 4: Simplify right side
    157,548x = 58,643,402,896
  5. Step 5: Solve for x
    x = 58,643,402,896/157,548
  6. Step 6: Final answer
    x = 372,225.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.