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Finding the Third Proportional to 369,130 and 561,160

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Solution

The third proportional to 369,130 and 561,160 is: 853,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,130 : 561,160 = 561,160 : x
  2. Step 2: Convert to fraction form
    369,130/561,160 = 561,160/x
  3. Step 3: Cross multiply
    369,130x = 561,160 × 561,160
  4. Step 4: Simplify right side
    369,130x = 314,900,545,600
  5. Step 5: Solve for x
    x = 314,900,545,600/369,130
  6. Step 6: Final answer
    x = 853,088.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.