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Finding the Third Proportional to 183,582 and 258,528

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Solution

The third proportional to 183,582 and 258,528 is: 364,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,582 : 258,528 = 258,528 : x
  2. Step 2: Convert to fraction form
    183,582/258,528 = 258,528/x
  3. Step 3: Cross multiply
    183,582x = 258,528 × 258,528
  4. Step 4: Simplify right side
    183,582x = 66,836,726,784
  5. Step 5: Solve for x
    x = 66,836,726,784/183,582
  6. Step 6: Final answer
    x = 364,070.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.