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Finding the Third Proportional to 190,762.13 and 295,243.59

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Solution

The third proportional to 190,762.13 and 295,243.59 is: 456,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,762.13 : 295,243.59 = 295,243.59 : x
  2. Step 2: Convert to fraction form
    190,762.13/295,243.59 = 295,243.59/x
  3. Step 3: Cross multiply
    190,762.13x = 295,243.59 × 295,243.59
  4. Step 4: Simplify right side
    190,762.13x = 87,168,779,650.42
  5. Step 5: Solve for x
    x = 87,168,779,650.42/190,762.13
  6. Step 6: Final answer
    x = 456,950.14

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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.