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Finding the Third Proportional to 113,480 and 265,064

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Solution

The third proportional to 113,480 and 265,064 is: 619,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,480 : 265,064 = 265,064 : x
  2. Step 2: Convert to fraction form
    113,480/265,064 = 265,064/x
  3. Step 3: Cross multiply
    113,480x = 265,064 × 265,064
  4. Step 4: Simplify right side
    113,480x = 70,258,924,096
  5. Step 5: Solve for x
    x = 70,258,924,096/113,480
  6. Step 6: Final answer
    x = 619,130.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.