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Finding the Third Proportional to 157,507.50 and 252,661.50

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Solution

The third proportional to 157,507.50 and 252,661.50 is: 405,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,507.50 : 252,661.50 = 252,661.50 : x
  2. Step 2: Convert to fraction form
    157,507.50/252,661.50 = 252,661.50/x
  3. Step 3: Cross multiply
    157,507.50x = 252,661.50 × 252,661.50
  4. Step 4: Simplify right side
    157,507.50x = 63,837,833,582.25
  5. Step 5: Solve for x
    x = 63,837,833,582.25/157,507.50
  6. Step 6: Final answer
    x = 405,300.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.