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Finding the Third Proportional to 114,308 and 250,702

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Solution

The third proportional to 114,308 and 250,702 is: 549,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,308 : 250,702 = 250,702 : x
  2. Step 2: Convert to fraction form
    114,308/250,702 = 250,702/x
  3. Step 3: Cross multiply
    114,308x = 250,702 × 250,702
  4. Step 4: Simplify right side
    114,308x = 62,851,492,804
  5. Step 5: Solve for x
    x = 62,851,492,804/114,308
  6. Step 6: Final answer
    x = 549,843.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.