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Finding the Third Proportional to 163,287 and 239,341.50

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Solution

The third proportional to 163,287 and 239,341.50 is: 350,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,287 : 239,341.50 = 239,341.50 : x
  2. Step 2: Convert to fraction form
    163,287/239,341.50 = 239,341.50/x
  3. Step 3: Cross multiply
    163,287x = 239,341.50 × 239,341.50
  4. Step 4: Simplify right side
    163,287x = 57,284,353,622.25
  5. Step 5: Solve for x
    x = 57,284,353,622.25/163,287
  6. Step 6: Final answer
    x = 350,820.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.