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Finding the Third Proportional to 178,740 and 250,005.50

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Solution

The third proportional to 178,740 and 250,005.50 is: 349,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,740 : 250,005.50 = 250,005.50 : x
  2. Step 2: Convert to fraction form
    178,740/250,005.50 = 250,005.50/x
  3. Step 3: Cross multiply
    178,740x = 250,005.50 × 250,005.50
  4. Step 4: Simplify right side
    178,740x = 62,502,750,030.25
  5. Step 5: Solve for x
    x = 62,502,750,030.25/178,740
  6. Step 6: Final answer
    x = 349,685.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.