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Finding the Third Proportional to 243,317.25 and 325,471.50

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Solution

The third proportional to 243,317.25 and 325,471.50 is: 435,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,317.25 : 325,471.50 = 325,471.50 : x
  2. Step 2: Convert to fraction form
    243,317.25/325,471.50 = 325,471.50/x
  3. Step 3: Cross multiply
    243,317.25x = 325,471.50 × 325,471.50
  4. Step 4: Simplify right side
    243,317.25x = 105,931,697,312.25
  5. Step 5: Solve for x
    x = 105,931,697,312.25/243,317.25
  6. Step 6: Final answer
    x = 435,364.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.