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Finding the Third Proportional to 158,768.25 and 342,465

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Solution

The third proportional to 158,768.25 and 342,465 is: 738,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,768.25 : 342,465 = 342,465 : x
  2. Step 2: Convert to fraction form
    158,768.25/342,465 = 342,465/x
  3. Step 3: Cross multiply
    158,768.25x = 342,465 × 342,465
  4. Step 4: Simplify right side
    158,768.25x = 117,282,276,225
  5. Step 5: Solve for x
    x = 117,282,276,225/158,768.25
  6. Step 6: Final answer
    x = 738,701.07

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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.