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Finding the Third Proportional to 157,437 and 183,028.50

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Solution

The third proportional to 157,437 and 183,028.50 is: 212,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,437 : 183,028.50 = 183,028.50 : x
  2. Step 2: Convert to fraction form
    157,437/183,028.50 = 183,028.50/x
  3. Step 3: Cross multiply
    157,437x = 183,028.50 × 183,028.50
  4. Step 4: Simplify right side
    157,437x = 33,499,431,812.25
  5. Step 5: Solve for x
    x = 33,499,431,812.25/157,437
  6. Step 6: Final answer
    x = 212,779.92

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.