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Finding the Third Proportional to 145,323 and 212,242.50

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Solution

The third proportional to 145,323 and 212,242.50 is: 309,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,323 : 212,242.50 = 212,242.50 : x
  2. Step 2: Convert to fraction form
    145,323/212,242.50 = 212,242.50/x
  3. Step 3: Cross multiply
    145,323x = 212,242.50 × 212,242.50
  4. Step 4: Simplify right side
    145,323x = 45,046,878,806.25
  5. Step 5: Solve for x
    x = 45,046,878,806.25/145,323
  6. Step 6: Final answer
    x = 309,977.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.