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Finding the Third Proportional to 145,128.75 and 307,890

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Solution

The third proportional to 145,128.75 and 307,890 is: 653,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,128.75 : 307,890 = 307,890 : x
  2. Step 2: Convert to fraction form
    145,128.75/307,890 = 307,890/x
  3. Step 3: Cross multiply
    145,128.75x = 307,890 × 307,890
  4. Step 4: Simplify right side
    145,128.75x = 94,796,252,100
  5. Step 5: Solve for x
    x = 94,796,252,100/145,128.75
  6. Step 6: Final answer
    x = 653,187.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.