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Finding the Third Proportional to 158,328 and 245,513

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Solution

The third proportional to 158,328 and 245,513 is: 380,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,328 : 245,513 = 245,513 : x
  2. Step 2: Convert to fraction form
    158,328/245,513 = 245,513/x
  3. Step 3: Cross multiply
    158,328x = 245,513 × 245,513
  4. Step 4: Simplify right side
    158,328x = 60,276,633,169
  5. Step 5: Solve for x
    x = 60,276,633,169/158,328
  6. Step 6: Final answer
    x = 380,707.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.