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Finding the Third Proportional to 157,345.50 and 241,303.50

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Solution

The third proportional to 157,345.50 and 241,303.50 is: 370,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,345.50 : 241,303.50 = 241,303.50 : x
  2. Step 2: Convert to fraction form
    157,345.50/241,303.50 = 241,303.50/x
  3. Step 3: Cross multiply
    157,345.50x = 241,303.50 × 241,303.50
  4. Step 4: Simplify right side
    157,345.50x = 58,227,379,112.25
  5. Step 5: Solve for x
    x = 58,227,379,112.25/157,345.50
  6. Step 6: Final answer
    x = 370,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.