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Finding the Third Proportional to 285,160.50 and 607,014

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Solution

The third proportional to 285,160.50 and 607,014 is: 1,292,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,160.50 : 607,014 = 607,014 : x
  2. Step 2: Convert to fraction form
    285,160.50/607,014 = 607,014/x
  3. Step 3: Cross multiply
    285,160.50x = 607,014 × 607,014
  4. Step 4: Simplify right side
    285,160.50x = 368,465,996,196
  5. Step 5: Solve for x
    x = 368,465,996,196/285,160.50
  6. Step 6: Final answer
    x = 1,292,135.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.