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Finding the Third Proportional to 145,783.13 and 238,052.25

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Solution

The third proportional to 145,783.13 and 238,052.25 is: 388,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,783.13 : 238,052.25 = 238,052.25 : x
  2. Step 2: Convert to fraction form
    145,783.13/238,052.25 = 238,052.25/x
  3. Step 3: Cross multiply
    145,783.13x = 238,052.25 × 238,052.25
  4. Step 4: Simplify right side
    145,783.13x = 56,668,873,730.06
  5. Step 5: Solve for x
    x = 56,668,873,730.06/145,783.13
  6. Step 6: Final answer
    x = 388,720.39

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.