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Finding the Third Proportional to 164,575.50 and 290,167.50

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Solution

The third proportional to 164,575.50 and 290,167.50 is: 511,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,575.50 : 290,167.50 = 290,167.50 : x
  2. Step 2: Convert to fraction form
    164,575.50/290,167.50 = 290,167.50/x
  3. Step 3: Cross multiply
    164,575.50x = 290,167.50 × 290,167.50
  4. Step 4: Simplify right side
    164,575.50x = 84,197,178,056.25
  5. Step 5: Solve for x
    x = 84,197,178,056.25/164,575.50
  6. Step 6: Final answer
    x = 511,602.14

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.