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Finding the Third Proportional to 130,487.63 and 278,066.25

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Solution

The third proportional to 130,487.63 and 278,066.25 is: 592,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,487.63 : 278,066.25 = 278,066.25 : x
  2. Step 2: Convert to fraction form
    130,487.63/278,066.25 = 278,066.25/x
  3. Step 3: Cross multiply
    130,487.63x = 278,066.25 × 278,066.25
  4. Step 4: Simplify right side
    130,487.63x = 77,320,839,389.06
  5. Step 5: Solve for x
    x = 77,320,839,389.06/130,487.63
  6. Step 6: Final answer
    x = 592,553.04

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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.