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Finding the Third Proportional to 158,437 and 352,299.50

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Solution

The third proportional to 158,437 and 352,299.50 is: 783,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,437 : 352,299.50 = 352,299.50 : x
  2. Step 2: Convert to fraction form
    158,437/352,299.50 = 352,299.50/x
  3. Step 3: Cross multiply
    158,437x = 352,299.50 × 352,299.50
  4. Step 4: Simplify right side
    158,437x = 124,114,937,700.25
  5. Step 5: Solve for x
    x = 124,114,937,700.25/158,437
  6. Step 6: Final answer
    x = 783,370.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.