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Finding the Third Proportional to 145,602.56 and 298,262.25

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Solution

The third proportional to 145,602.56 and 298,262.25 is: 610,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,602.56 : 298,262.25 = 298,262.25 : x
  2. Step 2: Convert to fraction form
    145,602.56/298,262.25 = 298,262.25/x
  3. Step 3: Cross multiply
    145,602.56x = 298,262.25 × 298,262.25
  4. Step 4: Simplify right side
    145,602.56x = 88,960,369,775.06
  5. Step 5: Solve for x
    x = 88,960,369,775.06/145,602.56
  6. Step 6: Final answer
    x = 610,980.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.