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Finding the Third Proportional to 115,811 and 183,530.50

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Solution

The third proportional to 115,811 and 183,530.50 is: 290,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,811 : 183,530.50 = 183,530.50 : x
  2. Step 2: Convert to fraction form
    115,811/183,530.50 = 183,530.50/x
  3. Step 3: Cross multiply
    115,811x = 183,530.50 × 183,530.50
  4. Step 4: Simplify right side
    115,811x = 33,683,444,430.25
  5. Step 5: Solve for x
    x = 33,683,444,430.25/115,811
  6. Step 6: Final answer
    x = 290,848.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.