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Finding the Third Proportional to 233,281.50 and 316,543.50

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Solution

The third proportional to 233,281.50 and 316,543.50 is: 429,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,281.50 : 316,543.50 = 316,543.50 : x
  2. Step 2: Convert to fraction form
    233,281.50/316,543.50 = 316,543.50/x
  3. Step 3: Cross multiply
    233,281.50x = 316,543.50 × 316,543.50
  4. Step 4: Simplify right side
    233,281.50x = 100,199,787,392.25
  5. Step 5: Solve for x
    x = 100,199,787,392.25/233,281.50
  6. Step 6: Final answer
    x = 429,523.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.