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Finding the Third Proportional to 113,220 and 242,295.50

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Solution

The third proportional to 113,220 and 242,295.50 is: 518,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,220 : 242,295.50 = 242,295.50 : x
  2. Step 2: Convert to fraction form
    113,220/242,295.50 = 242,295.50/x
  3. Step 3: Cross multiply
    113,220x = 242,295.50 × 242,295.50
  4. Step 4: Simplify right side
    113,220x = 58,707,109,320.25
  5. Step 5: Solve for x
    x = 58,707,109,320.25/113,220
  6. Step 6: Final answer
    x = 518,522.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.