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Finding the Third Proportional to 191,342.25 and 417,130.50

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Solution

The third proportional to 191,342.25 and 417,130.50 is: 909,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,342.25 : 417,130.50 = 417,130.50 : x
  2. Step 2: Convert to fraction form
    191,342.25/417,130.50 = 417,130.50/x
  3. Step 3: Cross multiply
    191,342.25x = 417,130.50 × 417,130.50
  4. Step 4: Simplify right side
    191,342.25x = 173,997,854,030.25
  5. Step 5: Solve for x
    x = 173,997,854,030.25/191,342.25
  6. Step 6: Final answer
    x = 909,354.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.