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Finding the Third Proportional to 147,280.50 and 233,587.13

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Solution

The third proportional to 147,280.50 and 233,587.13 is: 370,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,280.50 : 233,587.13 = 233,587.13 : x
  2. Step 2: Convert to fraction form
    147,280.50/233,587.13 = 233,587.13/x
  3. Step 3: Cross multiply
    147,280.50x = 233,587.13 × 233,587.13
  4. Step 4: Simplify right side
    147,280.50x = 54,562,944,965.77
  5. Step 5: Solve for x
    x = 54,562,944,965.77/147,280.50
  6. Step 6: Final answer
    x = 370,469.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.