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Finding the Third Proportional to 131,870.25 and 289,012.50

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Solution

The third proportional to 131,870.25 and 289,012.50 is: 633,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,870.25 : 289,012.50 = 289,012.50 : x
  2. Step 2: Convert to fraction form
    131,870.25/289,012.50 = 289,012.50/x
  3. Step 3: Cross multiply
    131,870.25x = 289,012.50 × 289,012.50
  4. Step 4: Simplify right side
    131,870.25x = 83,528,225,156.25
  5. Step 5: Solve for x
    x = 83,528,225,156.25/131,870.25
  6. Step 6: Final answer
    x = 633,412.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.