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Finding the Third Proportional to 130,851 and 201,370.50

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Solution

The third proportional to 130,851 and 201,370.50 is: 309,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,851 : 201,370.50 = 201,370.50 : x
  2. Step 2: Convert to fraction form
    130,851/201,370.50 = 201,370.50/x
  3. Step 3: Cross multiply
    130,851x = 201,370.50 × 201,370.50
  4. Step 4: Simplify right side
    130,851x = 40,550,078,270.25
  5. Step 5: Solve for x
    x = 40,550,078,270.25/130,851
  6. Step 6: Final answer
    x = 309,895.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.