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Finding the Third Proportional to 152,988 and 215,060

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Solution

The third proportional to 152,988 and 215,060 is: 302,316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,988 : 215,060 = 215,060 : x
  2. Step 2: Convert to fraction form
    152,988/215,060 = 215,060/x
  3. Step 3: Cross multiply
    152,988x = 215,060 × 215,060
  4. Step 4: Simplify right side
    152,988x = 46,250,803,600
  5. Step 5: Solve for x
    x = 46,250,803,600/152,988
  6. Step 6: Final answer
    x = 302,316.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.