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Finding the Third Proportional to 177,339 and 249,421.50

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Solution

The third proportional to 177,339 and 249,421.50 is: 350,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,339 : 249,421.50 = 249,421.50 : x
  2. Step 2: Convert to fraction form
    177,339/249,421.50 = 249,421.50/x
  3. Step 3: Cross multiply
    177,339x = 249,421.50 × 249,421.50
  4. Step 4: Simplify right side
    177,339x = 62,211,084,662.25
  5. Step 5: Solve for x
    x = 62,211,084,662.25/177,339
  6. Step 6: Final answer
    x = 350,803.18

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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.