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Finding the Third Proportional to 115,548.75 and 242,275.50

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Solution

The third proportional to 115,548.75 and 242,275.50 is: 507,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,548.75 : 242,275.50 = 242,275.50 : x
  2. Step 2: Convert to fraction form
    115,548.75/242,275.50 = 242,275.50/x
  3. Step 3: Cross multiply
    115,548.75x = 242,275.50 × 242,275.50
  4. Step 4: Simplify right side
    115,548.75x = 58,697,417,900.25
  5. Step 5: Solve for x
    x = 58,697,417,900.25/115,548.75
  6. Step 6: Final answer
    x = 507,988.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.