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Finding the Third Proportional to 242,565.50 and 373,968.50

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Solution

The third proportional to 242,565.50 and 373,968.50 is: 576,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,565.50 : 373,968.50 = 373,968.50 : x
  2. Step 2: Convert to fraction form
    242,565.50/373,968.50 = 373,968.50/x
  3. Step 3: Cross multiply
    242,565.50x = 373,968.50 × 373,968.50
  4. Step 4: Simplify right side
    242,565.50x = 139,852,438,992.25
  5. Step 5: Solve for x
    x = 139,852,438,992.25/242,565.50
  6. Step 6: Final answer
    x = 576,555.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.