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Finding the Third Proportional to 237,196 and 508,290

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Solution

The third proportional to 237,196 and 508,290 is: 1,089,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,196 : 508,290 = 508,290 : x
  2. Step 2: Convert to fraction form
    237,196/508,290 = 508,290/x
  3. Step 3: Cross multiply
    237,196x = 508,290 × 508,290
  4. Step 4: Simplify right side
    237,196x = 258,358,724,100
  5. Step 5: Solve for x
    x = 258,358,724,100/237,196
  6. Step 6: Final answer
    x = 1,089,220.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.