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Finding the Third Proportional to 119,259 and 185,368.50

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Solution

The third proportional to 119,259 and 185,368.50 is: 288,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,259 : 185,368.50 = 185,368.50 : x
  2. Step 2: Convert to fraction form
    119,259/185,368.50 = 185,368.50/x
  3. Step 3: Cross multiply
    119,259x = 185,368.50 × 185,368.50
  4. Step 4: Simplify right side
    119,259x = 34,361,480,792.25
  5. Step 5: Solve for x
    x = 34,361,480,792.25/119,259
  6. Step 6: Final answer
    x = 288,124.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.