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Finding the Third Proportional to 242,248.50 and 565,830

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Solution

The third proportional to 242,248.50 and 565,830 is: 1,321,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,248.50 : 565,830 = 565,830 : x
  2. Step 2: Convert to fraction form
    242,248.50/565,830 = 565,830/x
  3. Step 3: Cross multiply
    242,248.50x = 565,830 × 565,830
  4. Step 4: Simplify right side
    242,248.50x = 320,163,588,900
  5. Step 5: Solve for x
    x = 320,163,588,900/242,248.50
  6. Step 6: Final answer
    x = 1,321,632.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.