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Finding the Third Proportional to 125,855 and 245,330.50

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Solution

The third proportional to 125,855 and 245,330.50 is: 478,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,855 : 245,330.50 = 245,330.50 : x
  2. Step 2: Convert to fraction form
    125,855/245,330.50 = 245,330.50/x
  3. Step 3: Cross multiply
    125,855x = 245,330.50 × 245,330.50
  4. Step 4: Simplify right side
    125,855x = 60,187,054,230.25
  5. Step 5: Solve for x
    x = 60,187,054,230.25/125,855
  6. Step 6: Final answer
    x = 478,225.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.