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Finding the Third Proportional to 169,973.50 and 250,012.50

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Solution

The third proportional to 169,973.50 and 250,012.50 is: 367,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,973.50 : 250,012.50 = 250,012.50 : x
  2. Step 2: Convert to fraction form
    169,973.50/250,012.50 = 250,012.50/x
  3. Step 3: Cross multiply
    169,973.50x = 250,012.50 × 250,012.50
  4. Step 4: Simplify right side
    169,973.50x = 62,506,250,156.25
  5. Step 5: Solve for x
    x = 62,506,250,156.25/169,973.50
  6. Step 6: Final answer
    x = 367,741.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.