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Finding the Third Proportional to 152,668.55 and 210,954.38

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Solution

The third proportional to 152,668.55 and 210,954.38 is: 291,492.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,668.55 : 210,954.38 = 210,954.38 : x
  2. Step 2: Convert to fraction form
    152,668.55/210,954.38 = 210,954.38/x
  3. Step 3: Cross multiply
    152,668.55x = 210,954.38 × 210,954.38
  4. Step 4: Simplify right side
    152,668.55x = 44,501,748,331.64
  5. Step 5: Solve for x
    x = 44,501,748,331.64/152,668.55
  6. Step 6: Final answer
    x = 291,492.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.