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Finding the Third Proportional to 152,658 and 243,064.13

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Solution

The third proportional to 152,658 and 243,064.13 is: 387,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,658 : 243,064.13 = 243,064.13 : x
  2. Step 2: Convert to fraction form
    152,658/243,064.13 = 243,064.13/x
  3. Step 3: Cross multiply
    152,658x = 243,064.13 × 243,064.13
  4. Step 4: Simplify right side
    152,658x = 59,080,168,862.02
  5. Step 5: Solve for x
    x = 59,080,168,862.02/152,658
  6. Step 6: Final answer
    x = 387,009.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.