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Finding the Third Proportional to 187,254 and 390,066

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Solution

The third proportional to 187,254 and 390,066 is: 812,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,254 : 390,066 = 390,066 : x
  2. Step 2: Convert to fraction form
    187,254/390,066 = 390,066/x
  3. Step 3: Cross multiply
    187,254x = 390,066 × 390,066
  4. Step 4: Simplify right side
    187,254x = 152,151,484,356
  5. Step 5: Solve for x
    x = 152,151,484,356/187,254
  6. Step 6: Final answer
    x = 812,540.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.