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Finding the Third Proportional to 114,829.50 and 163,312.50

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Solution

The third proportional to 114,829.50 and 163,312.50 is: 232,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,829.50 : 163,312.50 = 163,312.50 : x
  2. Step 2: Convert to fraction form
    114,829.50/163,312.50 = 163,312.50/x
  3. Step 3: Cross multiply
    114,829.50x = 163,312.50 × 163,312.50
  4. Step 4: Simplify right side
    114,829.50x = 26,670,972,656.25
  5. Step 5: Solve for x
    x = 26,670,972,656.25/114,829.50
  6. Step 6: Final answer
    x = 232,265.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.