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Finding the Third Proportional to 130,896 and 197,437.50

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Solution

The third proportional to 130,896 and 197,437.50 is: 297,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,896 : 197,437.50 = 197,437.50 : x
  2. Step 2: Convert to fraction form
    130,896/197,437.50 = 197,437.50/x
  3. Step 3: Cross multiply
    130,896x = 197,437.50 × 197,437.50
  4. Step 4: Simplify right side
    130,896x = 38,981,566,406.25
  5. Step 5: Solve for x
    x = 38,981,566,406.25/130,896
  6. Step 6: Final answer
    x = 297,805.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.