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Finding the Third Proportional to 152,988 and 236,313

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Solution

The third proportional to 152,988 and 236,313 is: 365,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988 : 236,313 = 236,313 : x
  2. Step 2: Convert to fraction form
    152,988/236,313 = 236,313/x
  3. Step 3: Cross multiply
    152,988x = 236,313 × 236,313
  4. Step 4: Simplify right side
    152,988x = 55,843,833,969
  5. Step 5: Solve for x
    x = 55,843,833,969/152,988
  6. Step 6: Final answer
    x = 365,021.01

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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.