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Finding the Third Proportional to 210,117 and 314,433

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Solution

The third proportional to 210,117 and 314,433 is: 470,538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,117 : 314,433 = 314,433 : x
  2. Step 2: Convert to fraction form
    210,117/314,433 = 314,433/x
  3. Step 3: Cross multiply
    210,117x = 314,433 × 314,433
  4. Step 4: Simplify right side
    210,117x = 98,868,111,489
  5. Step 5: Solve for x
    x = 98,868,111,489/210,117
  6. Step 6: Final answer
    x = 470,538.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.