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Finding the Third Proportional to 157,547 and 242,161

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Solution

The third proportional to 157,547 and 242,161 is: 372,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,547 : 242,161 = 242,161 : x
  2. Step 2: Convert to fraction form
    157,547/242,161 = 242,161/x
  3. Step 3: Cross multiply
    157,547x = 242,161 × 242,161
  4. Step 4: Simplify right side
    157,547x = 58,641,949,921
  5. Step 5: Solve for x
    x = 58,641,949,921/157,547
  6. Step 6: Final answer
    x = 372,218.77

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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.