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Finding the Third Proportional to 255,312 and 383,130

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Solution

The third proportional to 255,312 and 383,130 is: 574,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,312 : 383,130 = 383,130 : x
  2. Step 2: Convert to fraction form
    255,312/383,130 = 383,130/x
  3. Step 3: Cross multiply
    255,312x = 383,130 × 383,130
  4. Step 4: Simplify right side
    255,312x = 146,788,596,900
  5. Step 5: Solve for x
    x = 146,788,596,900/255,312
  6. Step 6: Final answer
    x = 574,938.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.