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Finding the Third Proportional to 191,570 and 306,033

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Solution

The third proportional to 191,570 and 306,033 is: 488,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,570 : 306,033 = 306,033 : x
  2. Step 2: Convert to fraction form
    191,570/306,033 = 306,033/x
  3. Step 3: Cross multiply
    191,570x = 306,033 × 306,033
  4. Step 4: Simplify right side
    191,570x = 93,656,197,089
  5. Step 5: Solve for x
    x = 93,656,197,089/191,570
  6. Step 6: Final answer
    x = 488,887.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.