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Finding the Third Proportional to 158,773 and 342,473

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Solution

The third proportional to 158,773 and 342,473 is: 738,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,773 : 342,473 = 342,473 : x
  2. Step 2: Convert to fraction form
    158,773/342,473 = 342,473/x
  3. Step 3: Cross multiply
    158,773x = 342,473 × 342,473
  4. Step 4: Simplify right side
    158,773x = 117,287,755,729
  5. Step 5: Solve for x
    x = 117,287,755,729/158,773
  6. Step 6: Final answer
    x = 738,713.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.