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Finding the Third Proportional to 153,569 and 236,914

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Solution

The third proportional to 153,569 and 236,914 is: 365,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,569 : 236,914 = 236,914 : x
  2. Step 2: Convert to fraction form
    153,569/236,914 = 236,914/x
  3. Step 3: Cross multiply
    153,569x = 236,914 × 236,914
  4. Step 4: Simplify right side
    153,569x = 56,128,243,396
  5. Step 5: Solve for x
    x = 56,128,243,396/153,569
  6. Step 6: Final answer
    x = 365,492.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.