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Finding the Third Proportional to 183,532 and 340,363.50

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Solution

The third proportional to 183,532 and 340,363.50 is: 631,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,532 : 340,363.50 = 340,363.50 : x
  2. Step 2: Convert to fraction form
    183,532/340,363.50 = 340,363.50/x
  3. Step 3: Cross multiply
    183,532x = 340,363.50 × 340,363.50
  4. Step 4: Simplify right side
    183,532x = 115,847,312,132.25
  5. Step 5: Solve for x
    x = 115,847,312,132.25/183,532
  6. Step 6: Final answer
    x = 631,210.43

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.