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Finding the Third Proportional to 155,421 and 236,167.50

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Solution

The third proportional to 155,421 and 236,167.50 is: 358,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,421 : 236,167.50 = 236,167.50 : x
  2. Step 2: Convert to fraction form
    155,421/236,167.50 = 236,167.50/x
  3. Step 3: Cross multiply
    155,421x = 236,167.50 × 236,167.50
  4. Step 4: Simplify right side
    155,421x = 55,775,088,056.25
  5. Step 5: Solve for x
    x = 55,775,088,056.25/155,421
  6. Step 6: Final answer
    x = 358,864.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.