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Finding the Third Proportional to 157,549.50 and 235,773

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Solution

The third proportional to 157,549.50 and 235,773 is: 352,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,549.50 : 235,773 = 235,773 : x
  2. Step 2: Convert to fraction form
    157,549.50/235,773 = 235,773/x
  3. Step 3: Cross multiply
    157,549.50x = 235,773 × 235,773
  4. Step 4: Simplify right side
    157,549.50x = 55,588,907,529
  5. Step 5: Solve for x
    x = 55,588,907,529/157,549.50
  6. Step 6: Final answer
    x = 352,834.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.