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Finding the Third Proportional to 117,852 and 254,528

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Solution

The third proportional to 117,852 and 254,528 is: 549,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,852 : 254,528 = 254,528 : x
  2. Step 2: Convert to fraction form
    117,852/254,528 = 254,528/x
  3. Step 3: Cross multiply
    117,852x = 254,528 × 254,528
  4. Step 4: Simplify right side
    117,852x = 64,784,502,784
  5. Step 5: Solve for x
    x = 64,784,502,784/117,852
  6. Step 6: Final answer
    x = 549,710.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.