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Finding the Third Proportional to 183,411 and 378,607.50

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Solution

The third proportional to 183,411 and 378,607.50 is: 781,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,411 : 378,607.50 = 378,607.50 : x
  2. Step 2: Convert to fraction form
    183,411/378,607.50 = 378,607.50/x
  3. Step 3: Cross multiply
    183,411x = 378,607.50 × 378,607.50
  4. Step 4: Simplify right side
    183,411x = 143,343,639,056.25
  5. Step 5: Solve for x
    x = 143,343,639,056.25/183,411
  6. Step 6: Final answer
    x = 781,543.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.