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Finding the Third Proportional to 183,673.83 and 260,127.70

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Solution

The third proportional to 183,673.83 and 260,127.70 is: 368,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,673.83 : 260,127.70 = 260,127.70 : x
  2. Step 2: Convert to fraction form
    183,673.83/260,127.70 = 260,127.70/x
  3. Step 3: Cross multiply
    183,673.83x = 260,127.70 × 260,127.70
  4. Step 4: Simplify right side
    183,673.83x = 67,666,421,933.09
  5. Step 5: Solve for x
    x = 67,666,421,933.09/183,673.83
  6. Step 6: Final answer
    x = 368,405.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.