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Finding the Third Proportional to 157,210.50 and 339,328.50

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Solution

The third proportional to 157,210.50 and 339,328.50 is: 732,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,210.50 : 339,328.50 = 339,328.50 : x
  2. Step 2: Convert to fraction form
    157,210.50/339,328.50 = 339,328.50/x
  3. Step 3: Cross multiply
    157,210.50x = 339,328.50 × 339,328.50
  4. Step 4: Simplify right side
    157,210.50x = 115,143,830,912.25
  5. Step 5: Solve for x
    x = 115,143,830,912.25/157,210.50
  6. Step 6: Final answer
    x = 732,418.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.