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Finding the Third Proportional to 153,584 and 330,873.50

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Solution

The third proportional to 153,584 and 330,873.50 is: 712,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,584 : 330,873.50 = 330,873.50 : x
  2. Step 2: Convert to fraction form
    153,584/330,873.50 = 330,873.50/x
  3. Step 3: Cross multiply
    153,584x = 330,873.50 × 330,873.50
  4. Step 4: Simplify right side
    153,584x = 109,477,273,002.25
  5. Step 5: Solve for x
    x = 109,477,273,002.25/153,584
  6. Step 6: Final answer
    x = 712,816.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.