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Finding the Third Proportional to 145,995 and 310,809

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Solution

The third proportional to 145,995 and 310,809 is: 661,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,995 : 310,809 = 310,809 : x
  2. Step 2: Convert to fraction form
    145,995/310,809 = 310,809/x
  3. Step 3: Cross multiply
    145,995x = 310,809 × 310,809
  4. Step 4: Simplify right side
    145,995x = 96,602,234,481
  5. Step 5: Solve for x
    x = 96,602,234,481/145,995
  6. Step 6: Final answer
    x = 661,681.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.