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Finding the Third Proportional to 157,922.63 and 342,446

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Solution

The third proportional to 157,922.63 and 342,446 is: 742,574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,922.63 : 342,446 = 342,446 : x
  2. Step 2: Convert to fraction form
    157,922.63/342,446 = 342,446/x
  3. Step 3: Cross multiply
    157,922.63x = 342,446 × 342,446
  4. Step 4: Simplify right side
    157,922.63x = 117,269,262,916
  5. Step 5: Solve for x
    x = 117,269,262,916/157,922.63
  6. Step 6: Final answer
    x = 742,574.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.