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Finding the Third Proportional to 176,547 and 226,683

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Solution

The third proportional to 176,547 and 226,683 is: 291,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,547 : 226,683 = 226,683 : x
  2. Step 2: Convert to fraction form
    176,547/226,683 = 226,683/x
  3. Step 3: Cross multiply
    176,547x = 226,683 × 226,683
  4. Step 4: Simplify right side
    176,547x = 51,385,182,489
  5. Step 5: Solve for x
    x = 51,385,182,489/176,547
  6. Step 6: Final answer
    x = 291,056.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.